# Stored data for newform 585.6.a.k, downloaded from the LMFDB on 10 February 2025.
{"Nk2": 21060, "analytic_conductor": 93.82453459059367, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, 1], [13, 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": [585, 1, [326, 352, 496], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 6, "field_disc": 41284404086777344, "field_disc_factorization": [[2, 9], [1103, 1], [30161, 1], [2423789, 1]], "field_poly": [-47440, -10688, 6584, 328, -161, -2, 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": [[2, [-47440, 10688, 6584, -328, -161, 2, 1]]], "hecke_orbit": 11, "hecke_orbit_code": 45035996374368841, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 144, "hecke_ring_index_factorization": [[2, 4], [3, 2]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "585.6.a.k", "level": 585, "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": [3, 5, 13], "level_radical": 195, "minimal_twist": "65.6.a.e", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}+(22+\\beta _{3})q^{4}-5^{2}q^{5}+(3^{3}+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "585.6.a", "trace_display": [-2, 0, -150, 172], "trace_hash": 970201199853469562, "trace_moments": [{"__RealLiteral__": 0, "data": "0.041", "prec": 17}, 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