# Stored data for newform 2394.2.a.q, downloaded from the LMFDB on 29 March 2024. {"label": "2394.2.a.q", "space_label": "2394.2.a", "level": 2394, "weight": 2, "hecke_orbit": 17, "hecke_orbit_code": 72057594071484762, "dim": 2, "is_polredabs": true, "nf_label": "2.2.13.1", "trace_hash": 1981308833830076569, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-3, 1, 1]], [11, [3, -5, 1]], [13, [-4, -6, 1]], [17, [0, 1]]], "qexp_display": "q-q^{2}+q^{4}-\\beta q^{5}+q^{7}-q^{8}+\\beta q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 9576, "fricke_eigenval": -1, "atkin_lehner_string": "+---", "analytic_conductor": 19.116186243894525, "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": "0.016", "prec": 17}, "analytic_rank_proved": true, "char_values": [2394, 1, [533, 1711, 1009], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 7, 19], "conrey_indexes": [1], "field_disc": 13, "field_disc_factorization": [[13, 1]], "field_poly": [-3, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.019", "prec": 17}, {"__RealLiteral__": 0, "data": "1.895", "prec": 17}, {"__RealLiteral__": 0, "data": "0.016", "prec": 17}, {"__RealLiteral__": 0, "data": "9.039", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "60.775", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [7, -1], [19, -1]], "trace_display": [-2, 0, -1, 2], 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