# Stored data for newform 2394.4.a.c, downloaded from the LMFDB on 25 April 2024.
{"label": "2394.4.a.c", "space_label": "2394.4.a", "level": 2394, "weight": 4, "hecke_orbit": 3, "hecke_orbit_code": 9007199321852250, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 285696684705041662, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [-10, 1]], [11, [8, 1]]], "qexp_display": "q-2q^{2}+4q^{4}+10q^{5}+7q^{7}-8q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 38304, "fricke_eigenval": -1, "atkin_lehner_string": "+---", "analytic_conductor": 141.25057255374304, "hecke_ring_index": 1, "level_radical": 798, "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": [2394, 1, [533, 1711, 1009], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 7, 19], "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": "1.001", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.997", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.011", "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], [3, -1], [7, -1], [19, -1]], "trace_display": [-2, 0, 10, 7], "traces": [0, 1, -2, 0, 4, 10, 0, 7, -8, 0, -20, -8, 0, -50, -14, 0, 16, -114, 0, 19, 40, 0, 16, 148, 0, -25, 100, 0, 28, 30, 0, 304, -32, 0, 228, 70, 0, -274, 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