# Stored data for newform 2394.4.a.r, downloaded from the LMFDB on 29 April 2024.
{"label": "2394.4.a.r", "space_label": "2394.4.a", "level": 2394, "weight": 4, "hecke_orbit": 18, "hecke_orbit_code": 76561193732409690, "dim": 4, "is_polredabs": true, "trace_hash": 172449978731073531, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [18392, 1164, -314, -10, 1]], [11, [-483040, -83680, -1804, 48, 1]]], "qexp_display": "q-2q^{2}+4q^{4}+(2+\\beta _{1})q^{5}+7q^{7}+\\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": 4, "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": 13, "inner_twist_count": 1, "level_primes": [2, 3, 7, 19], "conrey_indexes": [1], "field_disc": 3411912760, "field_disc_factorization": [[2, 3], [5, 1], [85297819, 1]], "field_poly": [19400, -180, -350, -2, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.054", "prec": 17}, {"__RealLiteral__": 0, "data": "3.842", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "42.835", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "737.614", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [7, -1], [19, 1]], "trace_display": [-8, 0, 10, 28], "traces": [0, 4, -8, 0, 16, 10, 0, 28, -32, 0, -20, -48, 0, 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