# Stored data for newform 8041.2.a.a, downloaded from the LMFDB on 25 April 2024.
{"label": "8041.2.a.a", "space_label": "8041.2.a", "level": 8041, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33562473, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1554763448138870808, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [2, 1]]], "qexp_display": "q-2q^{2}-2q^{3}+2q^{4}+2q^{5}+4q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32164, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 64.20770826531155, "hecke_ring_index": 1, "level_radical": 8041, "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": [8041, 1, [6580, 2366, 562], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [11, 17, 43], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.022", "prec": 17}, {"__RealLiteral__": 0, "data": "0.966", "prec": 17}, {"__RealLiteral__": 0, "data": "0.058", "prec": 17}, {"__RealLiteral__": 0, "data": "1.868", "prec": 17}, {"__RealLiteral__": 0, "data": "0.150", "prec": 17}, {"__RealLiteral__": 0, "data": "4.596", "prec": 17}], "related_objects": ["EllipticCurve/Q/8041/a"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[11, -1], [17, -1], [43, 1]], "trace_display": [-2, -2, 2, 3], "traces": [0, 1, -2, -2, 2, 2, 4, 3, 0, 1, -4, 1, -4, -2, -6, -4, -4, 1, -2, -8, 4, -6, -2, -4, 0, -1, 4, 4, 6, -3, 8, 8, 8, -2, -2, 6, 2, 6, 16, 4, 0, 11, 12, -1, 2, 2, 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