# Stored data for newform 5850.2.a.x, downloaded from the LMFDB on 23 April 2024. {"label": "5850.2.a.x", "space_label": "5850.2.a", "level": 5850, "weight": 2, "hecke_orbit": 24, "hecke_orbit_code": 103582791463081690, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1514971412871452837, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [-4, 1]], [11, [2, 1]], [17, [4, 1]], [23, [-6, 1]], [31, [4, 1]]], "qexp_display": "q-q^{2}+q^{4}+4q^{7}-q^{8}-2q^{11}+q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 23400, "fricke_eigenval": -1, "atkin_lehner_string": "+---", "analytic_conductor": 46.71248518244902, "hecke_ring_index": 1, "level_radical": 390, "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": "0.016", "prec": 17}, "analytic_rank_proved": true, "char_values": [5850, 1, [3251, 3277, 2251], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 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": "0.967", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.850", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.442", "prec": 17}], "related_objects": ["EllipticCurve/Q/5850/x"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, -1], [13, -1]], "trace_display": [-1, 0, 0, 4], 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