# Stored data for newform 8450.2.a.br, downloaded from the LMFDB on 24 April 2024. {"label": "8450.2.a.br", "space_label": "8450.2.a", "level": 8450, "weight": 2, "hecke_orbit": 44, "hecke_orbit_code": 193654784010494210, "dim": 3, "is_polredabs": true, "nf_label": "3.3.2808.1", "trace_hash": 733350275872099412, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [2, -9, 0, 1]], [7, [-6, -6, 3, 1]], [11, [45, -27, -3, 1]], [17, [3, 1]], [31, [60, 48, -15, 1]]], "qexp_display": "q-q^{2}-\\beta _{1}q^{3}+q^{4}+\\beta _{1}q^{6}+(-1+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 33800, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 67.47358970798193, "hecke_ring_index": 1, "level_radical": 130, "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": "0.025", "prec": 17}, "analytic_rank_proved": true, "char_values": [8450, 1, [677, 3551], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 13], "conrey_indexes": [1], "field_disc": 2808, "field_disc_factorization": [[2, 3], [3, 3], [13, 1]], "field_poly": [-2, -9, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.150", "prec": 17}, {"__RealLiteral__": 0, "data": "2.882", "prec": 17}, {"__RealLiteral__": 0, "data": "1.282", "prec": 17}, {"__RealLiteral__": 0, "data": "20.834", "prec": 20}, {"__RealLiteral__": 0, "data": "12.691", "prec": 20}, {"__RealLiteral__": 0, "data": "214.189", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 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