# Stored data for newform 5915.2.a.l, downloaded from the LMFDB on 25 April 2024.
{"label": "5915.2.a.l", "space_label": "5915.2.a", "level": 5915, "weight": 2, "hecke_orbit": 12, "hecke_orbit_code": 49539595934635803, "dim": 2, "is_polredabs": true, "nf_label": "2.2.17.1", "trace_hash": 1886996795587670097, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-4, -1, 1]], [3, [-4, 1, 1]]], "qexp_display": "q+\\beta q^{2}+(-1+\\beta )q^{3}+(2+\\beta )q^{4}-q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 23660, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 47.23151279558735, "hecke_ring_index": 1, "level_radical": 455, "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": "0.022", "prec": 17}, "analytic_rank_proved": true, "char_values": [5915, 1, [2367, 5071, 1016], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 7, 13], "conrey_indexes": [1], "field_disc": 17, "field_disc_factorization": [[17, 1]], "field_poly": [-4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.020", "prec": 17}, {"__RealLiteral__": 0, "data": "1.945", "prec": 17}, {"__RealLiteral__": 0, "data": "0.199", "prec": 17}, {"__RealLiteral__": 0, "data": "9.719", "prec": 17}, {"__RealLiteral__": 0, "data": "2.583", "prec": 17}, {"__RealLiteral__": 0, "data": "68.266", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [7, -1], [13, 1]], "trace_display": [1, -1, -2, 2], "traces": [0, 2, 1, -1, 5, -2, 8, 2, 9, 3, -1, -1, 6, 0, 1, 1, 3, -5, -7, 6, -5, -1, 8, -2, 4, 2, 0, -7, 5, 1, -8, 0, 9, 9, 6, 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