# Stored data for newform 528.6.a.a, downloaded from the LMFDB on 23 April 2024.
{"label": "528.6.a.a", "space_label": "528.6.a", "level": 528, "weight": 6, "hecke_orbit": 1, "hecke_orbit_code": 100663824, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1002620023687933153, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [92, 1]], [7, [-26, 1]]], "qexp_display": "q-9q^{3}-92q^{5}+26q^{7}+3^{4}q^{9}-11^{2}q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 19008, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 84.68265686125378, "hecke_ring_index": 1, "level_radical": 66, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [528, 1, [463, 133, 353, 145], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 11], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.010", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.041", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.157", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [11, 1]], "trace_display": [0, -9, -92, 26], "traces": [0, 1, 0, -9, 0, -92, 0, 26, 0, 81, 0, -121, 0, -692, 0, 828, 0, -1442, 0, -2160, 0, -234, 0, 1582, 0, 5339, 0, -729, 0, -5526, 0, -4792, 0, 1089, 0, -2392, 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