# Stored data for newform 5265.2.a.ba, downloaded from the LMFDB on 20 April 2024.
{"label": "5265.2.a.ba", "space_label": "5265.2.a", "level": 5265, "weight": 2, "hecke_orbit": 27, "hecke_orbit_code": 117093590345192593, "dim": 8, "is_polredabs": true, "trace_hash": 1222096180787172329, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 19, 66, 70, -1, -31, -8, 3, 1]], [7, [-629, -30, 1360, 232, -385, -106, 24, 11, 1]], [11, [634, -11999, -1002, 3220, 413, -250, -38, 6, 1]], [17, [892, -1275, -5408, -748, 1532, 73, -78, -2, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+q^{5}+(-1+\\beta _{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": 21060, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 42.04123666420412, "hecke_ring_index": 1, "level_radical": 195, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [5265, 1, [326, 2107, 2836], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 13], "conrey_indexes": [1], "field_disc": 277602913017, "field_disc_factorization": [[3, 5], [3833, 1], [298043, 1]], "field_poly": [1, -19, 66, -70, -1, 31, -8, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7.384", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "161.465", "prec": 24}, {"__RealLiteral__": 0, "data": "121.687", "prec": 24}, {"__RealLiteral__": 0, "data": "5717.042", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, 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