# Stored data for newform 240.6.a.q, downloaded from the LMFDB on 05 January 2025.
{"Nk2": 8640, "analytic_conductor": 38.492116755115354, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, -1]], "atkin_lehner_string": "---", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [240, 1, [31, 181, 161, 97], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 409, "field_disc_factorization": [[409, 1]], "field_poly": [-102, -1, 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, [-23040, -112, 1]]], "hecke_orbit": 17, "hecke_orbit_code": 72057594138591472, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 16, "hecke_ring_index_factorization": [[2, 4]], "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": "240.6.a.q", "level": 240, "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], "level_radical": 30, "minimal_twist": "15.6.a.c", "nf_label": "2.2.409.1", "prim_orbit_index": 1, "qexp_display": "q+9q^{3}+5^{2}q^{5}+(56-\\beta )q^{7}+3^{4}q^{9}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "240.6.a", "trace_display": [0, 18, 50, 112], "trace_hash": 1515896012611733635, "trace_moments": [{"__RealLiteral__": 0, "data": "0.031", "prec": 17}, {"__RealLiteral__": 0, "data": "1.934", "prec": 17}, {"__RealLiteral__": 0, "data": "0.213", "prec": 17}, 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