# Stored data for newform 490.2.a.j, downloaded from the LMFDB on 23 April 2024.
{"label": "490.2.a.j", "space_label": "490.2.a", "level": 490, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532396679889386, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1005878647911674931, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-2, 1]], [11, [-3, 1]], [13, [5, 1]]], "qexp_display": "q+q^{2}+2q^{3}+q^{4}+q^{5}+2q^{6}+q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 1960, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 3.912669699042739, "hecke_ring_index": 1, "level_radical": 70, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [490, 1, [197, 101], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5, 7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.987", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.975", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.903", "prec": 17}], "related_objects": ["EllipticCurve/Q/490/j"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, -1], [7, -1]], "trace_display": [1, 2, 1, 0], "traces": [0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 3, 2, -5, 0, 2, 1, -6, 1, 1, 1, 0, 3, 3, 2, 1, -5, -4, 0, -6, 2, 4, 1, 6, -6, 0, 1, 11, 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"conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0], [1], [1], [2], [1], [1], [2], [0], [1], [1], [1], [3], [2], [-5], [0], [2], [1], [-6], [1], [1], [1], [0], [3], [3], [2], [1], [-5], [-4], [0], [-6], [2], [4], [1], [6], [-6], [0], [1], [11], [1], [-10], [1], [-3], [0], [-10], [3], [1], [3], [-3], [2], [0], [1], [-12], [-5], [3], [-4], [3], [0], [2], [-6], [0], [2], [4], [4], [0], [1], [-5], [6], [-4], [-6], [6], [0], [12], [1], [4], [11], [2], [1], [0], [-10], [-10], [1], [-11], [-3], [12], [0], [-6], [-10], [-12], [3], [-6], [1], [0], [3], [8], [-3], [1], [2], [-14], [0], [3], [1]]}