# Stored data for newform 5290.2.a.bj, downloaded from the LMFDB on 19 April 2024.
{"label": "5290.2.a.bj", "space_label": "5290.2.a", "level": 5290, "weight": 2, "hecke_orbit": 36, "hecke_orbit_code": 157625986991527082, "dim": 10, "is_polredabs": true, "trace_hash": 2040598885184010080, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [32, -48, -448, 604, 86, -343, 46, 65, -14, -4, 1]], [7, [197, 447, -1262, -1255, 1142, 1076, -64, -166, -14, 7, 1]], [11, [1541, -3851, -3708, 4119, 1876, -1496, -212, 202, -4, -9, 1]]], "qexp_display": "q-q^{2}+(1+\\beta _{7}+\\beta _{9})q^{3}+q^{4}+q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 21160, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 42.240862669257325, "hecke_ring_index": 1, "level_radical": 230, "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": "0.006", "prec": 17}, "analytic_rank_proved": true, "char_values": [5290, 1, [2117, 2121], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 5, 23], "conrey_indexes": [1], "field_disc": 26102266580489, "field_disc_factorization": [[11, 8], [263, 1], [463, 1]], "field_poly": [-23, -15, 177, 140, -185, -123, 78, 35, -15, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.143", "prec": 17}, {"__RealLiteral__": 0, "data": "8.259", "prec": 17}, {"__RealLiteral__": 0, "data": "5.115", "prec": 17}, {"__RealLiteral__": 0, "data": "200.951", "prec": 24}, {"__RealLiteral__": 0, "data": "231.919", "prec": 24}, {"__RealLiteral__": 0, "data": "7984.685", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 10, "sato_tate_group": "1.2.3.c1", 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