# Stored data for newform 448.6.a.h, downloaded from the LMFDB on 25 April 2024.
{"label": "448.6.a.h", "space_label": "448.6.a", "level": 448, "weight": 6, "hecke_orbit": 8, "hecke_orbit_code": 31525197492257216, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2135537664406523280, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [2, 1]], [5, [-96, 1]]], "qexp_display": "q-2q^{3}+96q^{5}-7^{2}q^{7}-239q^{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": "1.005", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.015", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.073", "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, -2, 96, -49], "traces": [0, 1, 0, -2, 0, 96, 0, -49, 0, -239, 0, -720, 0, -572, 0, -192, 0, 1254, 0, -94, 0, 98, 0, -96, 0, 6091, 0, 964, 0, 4374, 0, 6244, 0, 1440, 0, -4704, 0, 10798, 0, 1144, 0, 12006, 0, -9160, 0, -22944, 0, 25836, 0, 2401, 0, -2508, 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