# Stored data for newform 207.8.a.a, downloaded from the LMFDB on 16 April 2024.
{"label": "207.8.a.a", "space_label": "207.8.a", "level": 207, "weight": 8, "hecke_orbit": 1, "hecke_orbit_code": 134217935, "dim": 5, "is_polredabs": true, "trace_hash": 71429070756589885, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-127016, 42284, 474, -455, 0, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(54+2\\beta _{1}+\\beta _{3}+\\beta _{4})q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 13248, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 64.6637002752132, "hecke_ring_index": 288, "level_radical": 69, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [207, 1, [47, 28], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [3, 23], "conrey_indexes": [1], "field_disc": 5069351370280, "field_disc_factorization": [[2, 3], [5, 1], [126733784257, 1]], "field_poly": [127016, 42284, -474, -455, 0, 1], "hecke_ring_index_factorization": [[2, 5], [3, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.019", "prec": 17}, {"__RealLiteral__": 0, "data": "4.618", "prec": 17}, {"__RealLiteral__": 0, "data": "0.521", "prec": 17}, {"__RealLiteral__": 0, "data": "57.265", "prec": 20}, {"__RealLiteral__": 0, "data": "7.778", "prec": 17}, {"__RealLiteral__": 0, "data": "1041.485", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "7.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [23, 1]], "trace_display": [0, 0, 266, -496], "traces": [0, 5, 0, 0, 270, 266, 0, -496, -1422, 0, 1452, 1148, 0, -642, -5756, 0, -22606, 5798, 0, 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