# Stored data for newform 7581.2.a.d, downloaded from the LMFDB on 20 April 2024.
{"label": "7581.2.a.d", "space_label": "7581.2.a", "level": 7581, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915673501, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1648126326424939456, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 1]], [5, [2, 1]]], "qexp_display": "q+q^{2}-q^{3}-q^{4}-2q^{5}-q^{6}-q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 30324, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 60.53458977233266, "hecke_ring_index": 1, "level_radical": 399, "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": [7581, 1, [2528, 6499, 1807], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 7, 19], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.030", "prec": 17}, {"__RealLiteral__": 0, "data": "0.978", "prec": 17}, {"__RealLiteral__": 0, "data": "0.069", "prec": 17}, {"__RealLiteral__": 0, "data": "1.907", "prec": 17}, {"__RealLiteral__": 0, "data": "0.134", "prec": 17}, {"__RealLiteral__": 0, "data": "4.694", "prec": 17}], "related_objects": ["EllipticCurve/Q/7581/d"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [7, 1], [19, -1]], "trace_display": [1, -1, -2, -1], "traces": [0, 1, 1, -1, -1, -2, -1, -1, -3, 1, -2, 4, 1, 2, -1, 2, -1, -6, 1, 0, 2, 1, 4, 0, 3, -1, 2, -1, 1, 2, 2, 0, 5, -4, -6, 2, -1, -6, 0, -2, 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