# Stored data for newform 1143.2.a.j, downloaded from the LMFDB on 25 April 2024.
{"label": "1143.2.a.j", "space_label": "1143.2.a", "level": 1143, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532396679890039, "dim": 9, "is_polredabs": true, "trace_hash": 19036906205099271, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, -24, 102, -66, -99, 59, 26, -14, -2, 1]], [5, [160, 592, 384, -612, -524, 185, 94, -25, -4, 1]], [7, [1152, 2352, -7544, 5304, -532, -707, 222, 7, -10, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(2+\\beta _{2})q^{4}+\\beta _{5}q^{5}+(1-\\beta _{8})q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4572, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 9.126900951032347, "hecke_ring_index": 1, "level_radical": 381, "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": "0.011", "prec": 17}, "analytic_rank_proved": true, "char_values": [1143, 1, [128, 892], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [3, 127], "conrey_indexes": [1], "field_disc": 1573778945438576, "field_disc_factorization": [[2, 4], [98361184089911, 1]], "field_poly": [1, -24, 102, -66, -99, 59, 26, -14, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.059", "prec": 17}, {"__RealLiteral__": 0, "data": "8.317", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "194.497", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7332.441", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 9, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 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