# Stored data for newform 6400.2.a.l, downloaded from the LMFDB on 16 April 2024. {"label": "6400.2.a.l", "space_label": "6400.2.a", "level": 6400, "weight": 2, "hecke_orbit": 12, "hecke_orbit_code": 49539595934636288, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1176517494174779640, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [0, 1]], [7, [0, 1]], [11, [0, 1]], [13, [4, 1]], [17, [-2, 1]], [29, [-4, 1]], [31, [0, 1]]], "qexp_display": "q-3q^{9}-4q^{13}+2q^{17}+4q^{29}+12q^{37}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 25600, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 51.10425729361945, "hecke_ring_index": 1, "level_radical": 10, "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": 1, "is_self_dual": true, "is_self_twist": true, "is_cm": true, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.506", "prec": 17}, "analytic_rank_proved": true, "char_values": [6400, 1, [4351, 4101, 5377], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 2, "level_primes": [2, 5], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.030", "prec": 17}, {"__RealLiteral__": 0, "data": "0.967", "prec": 17}, {"__RealLiteral__": 0, "data": "0.074", "prec": 17}, {"__RealLiteral__": 0, "data": "2.864", "prec": 17}, {"__RealLiteral__": 0, "data": "0.249", "prec": 17}, {"__RealLiteral__": 0, "data": "9.445", "prec": 17}], "related_objects": ["EllipticCurve/Q/6400/l"], "self_twist_discs": [-4], "cm_discs": [-4], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.1.d1", "atkin_lehner_eigenvals": [[2, -1], [5, 1]], "trace_display": [0, 0, 0, 0], 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