# Stored data for newform 4704.2.a.bj, downloaded from the LMFDB on 19 April 2024. {"label": "4704.2.a.bj", "space_label": "4704.2.a", "level": 4704, "weight": 2, "hecke_orbit": 36, "hecke_orbit_code": 157625986991526496, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 1027572536368973723, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [-2, 0, 1]], [11, [-8, 0, 1]], [13, [-2, 0, 1]], [19, [0, 1]], [31, [4, 1]]], "qexp_display": "q-q^{3}+\\beta q^{5}+q^{9}-2\\beta q^{11}+\\beta q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 18816, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 37.561629110810294, "hecke_ring_index": 1, "level_radical": 42, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 8, "field_poly_is_real_cyclotomic": true, "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": "0.519", "prec": 17}, "analytic_rank_proved": true, "char_values": [4704, 1, [1471, 1765, 3137, 4609], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [2, 3, 7], "conrey_indexes": [1], "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.079", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "17.057", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "173.559", "prec": 24}], "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]], "trace_display": [0, -2, 0, 0], 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