# Stored data for newform 448.4.a.k, downloaded from the LMFDB on 19 April 2024.
{"label": "448.4.a.k", "space_label": "448.4.a", "level": 448, "weight": 4, "hecke_orbit": 11, "hecke_orbit_code": 45035996340814272, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2266642433148663638, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-2, 1]], [5, [-12, 1]]], "qexp_display": "q+2q^{3}+12q^{5}+7q^{7}-23q^{9}-48q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 7168, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 26.432855682571795, "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": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "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": "0.976", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.927", "prec": 17}, {"__RealLiteral__": 0, "data": "0.011", "prec": 17}, {"__RealLiteral__": 0, "data": "4.769", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [7, -1]], "trace_display": [0, 2, 12, 7], "traces": [0, 1, 0, 2, 0, 12, 0, 7, 0, -23, 0, -48, 0, -56, 0, 24, 0, -114, 0, -2, 0, 14, 0, -120, 0, 19, 0, -100, 0, 54, 0, 236, 0, -96, 0, 84, 0, -146, 0, -112, 0, 126, 0, 376, 0, -276, 0, 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