# Stored data for newform 5586.2.a.bw, downloaded from the LMFDB on 20 April 2024.
{"label": "5586.2.a.bw", "space_label": "5586.2.a", "level": 5586, "weight": 2, "hecke_orbit": 49, "hecke_orbit_code": 216172782147343826, "dim": 4, "is_polredabs": true, "nf_label": "4.4.29268.1", "trace_hash": 445648666123230840, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [21, 6, -12, 0, 1]], [11, [7, -22, -12, 2, 1]], [13, [336, -48, -48, 0, 1]], [17, [-452, 254, -6, -10, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}-\\beta _{2}q^{5}+q^{6}-q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 22344, "fricke_eigenval": -1, "atkin_lehner_string": "+++-", "analytic_conductor": 44.604434569087225, "hecke_ring_index": 1, "level_radical": 798, "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": "0.007", "prec": 17}, "analytic_rank_proved": true, "char_values": [5586, 1, [3725, 4903, 4999], [1, 1, 1]], "hecke_ring_generator_nbound": 23, "inner_twist_count": 1, "level_primes": [2, 3, 7, 19], "conrey_indexes": [1], "field_disc": 29268, "field_disc_factorization": [[2, 2], [3, 3], [271, 1]], "field_poly": [16, 5, -9, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.065", "prec": 17}, {"__RealLiteral__": 0, "data": "3.939", "prec": 17}, {"__RealLiteral__": 0, "data": "0.318", "prec": 17}, {"__RealLiteral__": 0, "data": "44.846", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "814.615", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [7, 1], [19, -1]], "trace_display": [-4, -4, 0, 0], "traces": [0, 4, 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