# Stored data for newform 5290.2.a.m, downloaded from the LMFDB on 23 April 2024.
{"label": "5290.2.a.m", "space_label": "5290.2.a", "level": 5290, "weight": 2, "hecke_orbit": 13, "hecke_orbit_code": 54043195562005674, "dim": 2, "is_polredabs": true, "nf_label": "2.2.12.1", "trace_hash": 908324372837920374, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-3, 0, 1]], [7, [-2, 2, 1]], [11, [-12, 0, 1]]], "qexp_display": "q+q^{2}+\\beta q^{3}+q^{4}-q^{5}+\\beta q^{6}+(-1+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 21160, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 42.240862669257325, "hecke_ring_index": 1, "level_radical": 230, "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": "0.022", "prec": 17}, "analytic_rank_proved": true, "char_values": [5290, 1, [2117, 2121], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 23], "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": "0.013", "prec": 17}, {"__RealLiteral__": 0, "data": "1.964", "prec": 17}, {"__RealLiteral__": 0, "data": "0.132", "prec": 17}, {"__RealLiteral__": 0, "data": "9.743", "prec": 17}, {"__RealLiteral__": 0, "data": "0.429", "prec": 17}, {"__RealLiteral__": 0, "data": "68.824", "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], [5, 1], [23, -1]], "trace_display": [2, 0, -2, -2], "traces": [0, 2, 2, 0, 2, -2, 0, -2, 2, 0, -2, 0, 0, 0, -2, 0, 2, -4, 0, -2, -2, 6, 0, 0, 0, 2, 0, 0, -2, 2, 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