# Stored data for newform 448.6.a.o, downloaded from the LMFDB on 23 April 2024.
{"label": "448.6.a.o", "space_label": "448.6.a", "level": 448, "weight": 6, "hecke_orbit": 15, "hecke_orbit_code": 63050394883850688, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 181264178820573806, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-26, 1]], [5, [16, 1]]], "qexp_display": "q+26q^{3}-2^{4}q^{5}+7^{2}q^{7}+433q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16128, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 71.85195127621532, "hecke_ring_index": 1, "level_radical": 14, "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": 0, "analytic_rank_proved": true, "char_values": [448, 1, [127, 197, 129], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 7], "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": "1.009", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.013", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.980", "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], [7, -1]], "trace_display": [0, 26, -16, 49], "traces": [0, 1, 0, 26, 0, -16, 0, 49, 0, 433, 0, 8, 0, -684, 0, -416, 0, -2218, 0, -2698, 0, 1274, 0, -3344, 0, -2869, 0, 4940, 0, 3254, 0, -4788, 0, 208, 0, -784, 0, 11470, 0, -17784, 0, 13350, 0, -928, 0, -6928, 0, -1212, 0, 2401, 0, 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