# Stored data for newform 5290.2.a.v, downloaded from the LMFDB on 19 April 2024.
{"label": "5290.2.a.v", "space_label": "5290.2.a", "level": 5290, "weight": 2, "hecke_orbit": 22, "hecke_orbit_code": 94575592208340138, "dim": 4, "is_polredabs": true, "nf_label": "4.4.2304.1", "trace_hash": 777347804482142432, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-1, -2, 1]], [7, [-8, -32, -12, 4, 1]], [11, [4, 0, -28, 0, 1]]], "qexp_display": "q-q^{2}+(1+\\beta _{1}+\\beta _{3})q^{3}+q^{4}+q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 21160, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 42.240862669257325, "hecke_ring_index": 1, "level_radical": 230, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 24, "field_poly_is_real_cyclotomic": true, "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": "0.029", "prec": 17}, "analytic_rank_proved": true, "char_values": [5290, 1, [2117, 2121], [1, 1]], "hecke_ring_generator_nbound": 17, "inner_twist_count": 1, "level_primes": [2, 5, 23], "conrey_indexes": [1], "field_disc": 2304, "field_disc_factorization": [[2, 8], [3, 2]], "field_poly": [1, 0, -4, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.101", "prec": 17}, {"__RealLiteral__": 0, "data": "3.642", "prec": 17}, {"__RealLiteral__": 0, "data": "1.727", "prec": 17}, {"__RealLiteral__": 0, "data": "36.170", "prec": 20}, {"__RealLiteral__": 0, "data": "37.978", "prec": 20}, {"__RealLiteral__": 0, "data": "562.027", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, -1], [23, 1]], "trace_display": [-4, 4, 4, -4], "traces": [0, 4, -4, 4, 4, 4, -4, -4, -4, 0, -4, 0, 4, -8, 4, 4, 4, 12, 0, -8, 4, -4, 0, 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