# Stored data for newform 5265.2.a.c, downloaded from the LMFDB on 28 April 2024. {"label": "5265.2.a.c", "space_label": "5265.2.a", "level": 5265, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007199288300689, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 621761996138061939, "analytic_rank": 2, "is_twist_minimal": true, "hecke_cutters": [[2, [2, 1]], [7, [4, 1]], [11, [5, 1]], [17, [8, 1]]], "qexp_display": "q-2q^{2}+2q^{4}+q^{5}-4q^{7}-2q^{10}+\\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": "0.017", "prec": 17}, "analytic_rank_proved": true, "char_values": [5265, 1, [326, 2107, 2836], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5, 13], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.979", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.971", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.942", "prec": 17}], "related_objects": ["EllipticCurve/Q/5265/c"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, -1], [13, 1]], "trace_display": [-2, 0, 1, -4], "traces": [0, 1, -2, 0, 2, 1, 0, -4, 0, 0, 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