# Stored data for newform 8010.2.a.n, downloaded from the LMFDB on 02 January 2025.
{"Nk2": 32040, "analytic_conductor": 63.96017201904559, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, -1], [89, 1]], "atkin_lehner_string": "---+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [8010, 1, [7121, 4807, 181], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[7, [-4, 1]], [11, [0, 1]], [13, [0, 1]], [17, [2, 1]]], "hecke_orbit": 14, "hecke_orbit_code": 58546795189378890, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "8010.2.a.n", "level": 8010, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 5, 89], "level_radical": 2670, "minimal_twist": "890.2.a.e", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+q^{4}+q^{5}+4q^{7}+q^{8}+q^{10}+\\cdots", "related_objects": ["EllipticCurve/Q/8010/n"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "8010.2.a", "trace_display": [1, 0, 1, 4], "trace_hash": 438749811027511458, "trace_moments": [{"__RealLiteral__": 0, "data": "0.034", "prec": 17}, {"__RealLiteral__": 0, "data": "1.027", "prec": 17}, {"__RealLiteral__": 0, "data": "0.085", "prec": 17}, {"__RealLiteral__": 0, "data": "2.121", "prec": 17}, {"__RealLiteral__": 0, "data": "0.275", "prec": 17}, {"__RealLiteral__": 0, "data": "5.396", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.021", "prec": 17}, "traces": [0, 1, 1, 0, 1, 1, 0, 4, 1, 0, 1, 0, 0, 0, 4, 0, 1, -2, 0, 6, 1, 0, 0, 4, 0, 1, 0, 0, 4, -4, 0, 4, 1, 0, -2, 4, 0, -4, 6, 0, 1, 2, 0, 6, 0, 0, 4, 0, 0, 9, 1, 0, 0, -14, 0, 0, 4, 0, -4, 6, 0, -8, 4, 0, 1, 0, 0, -8, -2, 0, 4, 16, 0, 14, -4, 0, 6, 0, 0, 0, 1, 0, 2, -6, 0, -2, 6, 0, 0, -1, 0, 0, 4, 0, 0, 6, 0, -2, 9, 0, 1, -4, 0, 0, 0, 0, -14, 8, 0, 6, 0, 0, 4, -10, 0, 4, -4, 0, 6, -8, 0, -11, -8, 0, 4, 1, 0, 12, 1, 0, 0, 4, 0, 24, -8, 0, -2, -6, 0, -4, 4, 0, 16, 0, 0, -4, 14, 0, -4, 8, 0, 12, 6, 0, 0, 4, 0, -18, 0, 0, 1, 16, 0, 2, 2, 0, -6, 16, 0, -13, -2, 0, 6, 6, 0, 4, 0, 0, -1, -20, 0, -20, 0, 0, 4, -4, 0, 0, 0, 0, 6, 20, 0, -2, -2, 0, 9, 8, 0, -24, 1, 0, -4, -16, 0, 2, 0, 0, 0, 0, 0, 2, -14, 0, 8, 6, 0, 16, 6, 0, 0, 0, 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