# Stored data for newform 570.2.a.l, downloaded from the LMFDB on 25 April 2024.
{"label": "570.2.a.l", "space_label": "570.2.a", "level": 570, "weight": 2, "hecke_orbit": 12, "hecke_orbit_code": 49539595934630458, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 544248302019274453, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [2, 1]], [11, [-2, 1]], [13, [-4, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-2q^{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": "0.020", "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": "0.016", "prec": 17}, {"__RealLiteral__": 0, "data": "1.009", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.039", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.142", "prec": 17}], "related_objects": ["EllipticCurve/Q/570/l"], "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, -2], "traces": [0, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, 2, 1, 4, -2, 1, 1, -2, 1, -1, 1, -2, 2, 4, 1, 1, 4, 1, -2, 0, 1, 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-2, -8, -30, -40, -2, -29, 22, 12, 12, 3, -12, 14, -6, 14, -2, 32, -8, 14, -4, -1, -12, -42, 8, 20, -6, 16, 12, -16, 1, 14, -16, -13, 16, 0, 0, 32, 10, -12, -4, -2, 14, -12, -40, 14, 2, -18, -3, -26, -8, 0, 24, 48, 8, -16, 0, 2, 4, 12, 10, 0, -2, 16, 0, 0, 1, 12, -16, 12, -6, 2, -8, 28, -12, 2, -8, 32, -1, 8, 18, 2, 10, 36, -2, 0, 4, -32, 2, -32, -4, 8, -6, 4, 0, -30, -8, 3, -6, -18, 8, -4, 4, -2, -16, -6, -12, -8, 18, -32, 0, -2, -12, -52, 0, 56, -1, 18, 4, 34, -6, -18, 10, 0, -10, 44, 1, 33, 32, -12, 2, 24, -8, 58, -7, 2, -12, 12, 1, 0, 28, 4, 2, 38, 14, 0, -3, 10, 22, 24, -8, 18, 0, 24, -4, -24, 2, -8, -8, 12, 16, -20, 4, -62, -40, 8, 1], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "570.2.a.l", "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], [-2], [1], [1], [1], [2], [1], [4], [-2], [1], [1], [-2], [1], [-1], [1], [-2], [2], [4], [1], [1], [4], [1], [-2], [0], [1], [-8], [1], [2], [-2], [-2], [1], [8], [-1], [4], [1], [-8], [-2], [-6], [2], [1], [4], [-12], [1], [-3], [1], [-2], [4], [-6], [1], [2], [-2], [-1], [0], [0], [1], [2], [-8], [-2], [1], [4], [2], [8], [-2], [4], [-2], [-8], [1], [14], [8], [1], [-1], [-4], [4], [0], [1], [1], [-8], [4], [-2], [-2], [-6], [0], [2], [0], [1], [-8], [4], [-8], [-12], [-1], [1], [-12], [-3], [2], [1]]}