# Stored data for newform 2304.4.a.bu, downloaded from the LMFDB on 25 April 2024.
{"label": "2304.4.a.bu", "space_label": "2304.4.a", "level": 2304, "weight": 4, "hecke_orbit": 47, "hecke_orbit_code": 207165582926153984, "dim": 3, "is_polredabs": true, "nf_label": "3.3.1436.1", "trace_hash": 1338751331473990473, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-104, -164, 10, 1]], [7, [5816, -580, -14, 1]], [11, [-49152, -2816, 0, 1]], [13, [55872, -1104, -52, 1]], [17, [-477576, -11124, 26, 1]], [19, [-274752, -11088, -28, 1]]], "qexp_display": "q+(-3-\\beta _{2})q^{5}+(5-\\beta _{1})q^{7}+(2\\beta _{1}+\\cdots)q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 36864, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 135.94040065322636, "hecke_ring_index": 32, "level_radical": 6, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [2304, 1, [1279, 2053, 1793], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3], "conrey_indexes": [1], "field_disc": 1436, "field_disc_factorization": [[2, 2], [359, 1]], "field_poly": [-12, -11, 0, 1], "hecke_ring_index_factorization": [[2, 5]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.790", "prec": 17}, {"__RealLiteral__": 0, "data": "0.335", "prec": 17}, {"__RealLiteral__": 0, "data": "20.011", "prec": 20}, {"__RealLiteral__": 0, "data": "5.187", "prec": 17}, {"__RealLiteral__": 0, "data": "209.709", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": 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