# Stored data for newform 5290.2.a.j, downloaded from the LMFDB on 19 April 2024.
{"label": "5290.2.a.j", "space_label": "5290.2.a", "level": 5290, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532396679894186, "dim": 2, "is_polredabs": true, "nf_label": "2.2.13.1", "trace_hash": 1633710561245674054, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-1, -3, 1]], [7, [-1, 3, 1]], [11, [9, -7, 1]]], "qexp_display": "q-q^{2}+(1+\\beta )q^{3}+q^{4}-q^{5}+(-1+\\cdots)q^{6}+\\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": "0.012", "prec": 17}, "analytic_rank_proved": true, "char_values": [5290, 1, [2117, 2121], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 23], "conrey_indexes": [1], "field_disc": 13, "field_disc_factorization": [[13, 1]], "field_poly": [-3, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.045", "prec": 17}, {"__RealLiteral__": 0, "data": "2.029", "prec": 17}, {"__RealLiteral__": 0, "data": "0.138", "prec": 17}, {"__RealLiteral__": 0, "data": "10.054", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "68.841", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, 1], [23, -1]], "trace_display": [-2, 3, -2, -3], "traces": [0, 2, -2, 3, 2, -2, -3, -3, -2, 5, 2, 7, 3, 3, 3, -3, 2, -3, -5, -1, -2, 2, -7, 0, -3, 2, -3, 18, -3, 2, 3, -5, 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