# Stored data for newform 570.2.a.e, downloaded from the LMFDB on 24 April 2024.
{"label": "570.2.a.e", "space_label": "570.2.a", "level": 570, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18014398543036986, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2106612853958551819, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[7, [4, 1]], [11, [4, 1]], [13, [6, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-4q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 2280, "fricke_eigenval": 1, "atkin_lehner_string": "+--+", "analytic_conductor": 4.551472915212982, "hecke_ring_index": 1, "level_radical": 570, "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": "0.017", "prec": 17}, "analytic_rank_proved": true, "char_values": [570, 1, [191, 457, 211], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 19], "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": "1.020", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.108", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.410", "prec": 17}], "related_objects": ["EllipticCurve/Q/570/e"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, -1], [19, 1]], "trace_display": [-1, 1, 1, -4], "traces": [0, 1, -1, 1, 1, 1, -1, -4, -1, 1, -1, -4, 1, -6, 4, 1, 1, -6, -1, -1, 1, -4, 4, 4, -1, 1, 6, 1, -4, 6, -1, -8, -1, -4, 6, 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"char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "570.2.a.e", "char_is_minimal": true, "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], [1], [1], [1], [-1], [-4], [-1], [1], [-1], [-4], [1], [-6], [4], [1], [1], [-6], [-1], [-1], [1], [-4], [4], [4], [-1], [1], [6], [1], [-4], [6], [-1], [-8], [-1], [-4], [6], [-4], [1], [2], [1], [-6], [-1], [10], [4], [-8], [-4], [1], [-4], [12], [1], [9], [-1], [-6], [-6], [2], [-1], [-4], [4], [-1], [-6], [-4], [1], [-2], [8], [-4], [1], [-6], [4], [-12], [-6], [4], [4], [-16], [-1], [-14], [-2], [1], [-1], [16], [6], [8], [1], [1], [-10], [0], [-4], [-6], [8], [6], [4], [-6], [-1], [24], [4], [-8], [-12], [-1], [-1], [14], [-9], [-4], [1]]}