# Stored data for newform 5070.2.a.bg, downloaded from the LMFDB on 25 April 2024.
{"label": "5070.2.a.bg", "space_label": "5070.2.a", "level": 5070, "weight": 2, "hecke_orbit": 33, "hecke_orbit_code": 144115188109415374, "dim": 2, "is_polredabs": true, "nf_label": "2.2.12.1", "trace_hash": 383876554228025652, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [-2, 1]], [11, [-3, -6, 1]], [17, [-4, 1]], [31, [-3, 0, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+2q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 20280, "fricke_eigenval": -1, "atkin_lehner_string": "-+--", "analytic_conductor": 40.48415382478915, "hecke_ring_index": 1, "level_radical": 390, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 12, "field_poly_is_real_cyclotomic": true, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.033", "prec": 17}, "analytic_rank_proved": true, "char_values": [5070, 1, [1691, 4057, 1861], [1, 1, 1]], "hecke_ring_generator_nbound": 23, "inner_twist_count": 1, "level_primes": [2, 3, 5, 13], "conrey_indexes": [1], "field_disc": 12, "field_disc_factorization": [[2, 2], [3, 1]], "field_poly": [-3, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.048", "prec": 17}, {"__RealLiteral__": 0, "data": "1.964", "prec": 17}, {"__RealLiteral__": 0, "data": "0.216", "prec": 17}, {"__RealLiteral__": 0, "data": "9.796", "prec": 17}, {"__RealLiteral__": 0, "data": "1.365", "prec": 17}, {"__RealLiteral__": 0, "data": "68.047", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [5, -1], [13, -1]], "trace_display": [2, -2, 2, 4], "traces": [0, 2, 2, -2, 2, 2, -2, 4, 2, 2, 2, 6, -2, 0, 4, -2, 2, 8, 2, 8, 2, -4, 6, -4, -2, 2, 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