# Stored data for newform 170.2.a.e, downloaded from the LMFDB on 25 April 2024.
{"label": "170.2.a.e", "space_label": "170.2.a", "level": 170, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18014398543036586, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1669759730726945561, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-1, 1]], [7, [-2, 1]], [13, [1, 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": 680, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 1.3574568343617666, "hecke_ring_index": 1, "level_radical": 170, "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": "0.015", "prec": 17}, "analytic_rank_proved": true, "char_values": [170, 1, [137, 71], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5, 17], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.003", "prec": 17}, {"__RealLiteral__": 0, "data": "1.032", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.084", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.161", "prec": 17}], "related_objects": ["EllipticCurve/Q/170/e"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1], [17, 1]], "trace_display": [1, 1, -1, 2], "traces": [0, 1, 1, 1, 1, -1, 1, 2, 1, -2, -1, 0, 1, -1, 2, -1, 1, -1, -2, -1, -1, 2, 0, -6, 1, 1, -1, -5, 2, -3, -1, 5, 1, 0, -1, -2, -2, 8, -1, -1, -1, 6, 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-10, -1, 3, 8, 18, 0, -25, 6, -21, -2, -20, -4, 27, 2, 12, 6, -22, -3, -13, -1, -48, 9, 2, 22, -2, -12, 33, 0, -1, 10, 12, -24, -48, -5, -18, -34, 1, 10, 0, 3, -2, 11, 14, 6, -2, 11, -40, 8, -3, 0, 18, 6, 38, 1, -3, 12, -30, 8, 22, -15, 0, -1, 3, -12, 12, 2, 6, 0, -15, -2, 3, 0, -20, 9, 10, -22, 47, 3, -12, 2, 48, -1, 0, 26, -11, -22, -36, 5, 2, 6, 20, 30, -9, 0, 8, -19, -16, -3, -30, -5, 3, 9, 0, 24, 0, 2, 44, 4, 14, 3, -15, 14, -36, 3, 10, 0, 51, 8, -11, -1, 0, -2, -24, 6, -12, 6, 0, 27, -36, -1, -6, -8, 24, -10, -2, -12, -40, -11, 1, 7, -21, 16, 16, -22, -1, 11, -12, -16, 0, 3, -22, -39, 6, 6, 24, 3, -6, 1, 60, 0, 29, 5, -31, 18, -11, -12, -46, -22, -40, -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": "170.2.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], [2], [1], [-2], [-1], [0], [1], [-1], [2], [-1], [1], [-1], [-2], [-1], [-1], [2], [0], [-6], [1], [1], [-1], [-5], [2], [-3], [-1], [5], [1], [0], [-1], [-2], [-2], [8], [-1], [-1], [-1], [6], [2], [-10], [0], [2], [-6], [-3], [1], [-3], [1], [-1], [-1], [-3], [-5], [0], [2], [-1], [-3], [3], [-1], [11], [5], [-4], [1], [1], [0], [2], [-1], [-6], [-2], [9], [-2], [11], [8], [1], [-1], [0], [-1], [8], [-1], [1], [6], [-12], [2], [1], [-10], [-3], [0], [15], [2], [-2], [-6], [5], [-3], [1], [1], [-7], [-3], [0], [1]]}