# Stored data for newform 5290.2.a.p, downloaded from the LMFDB on 24 April 2024.
{"label": "5290.2.a.p", "space_label": "5290.2.a", "level": 5290, "weight": 2, "hecke_orbit": 16, "hecke_orbit_code": 67553994444117162, "dim": 3, "is_polredabs": true, "nf_label": "3.3.1509.1", "trace_hash": 1005859406528497983, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-4, -7, 1, 1]], [7, [-36, -15, 3, 1]], [11, [-6, 1, 5, 1]]], "qexp_display": "q+q^{2}-\\beta _{1}q^{3}+q^{4}-q^{5}-\\beta _{1}q^{6}+\\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": 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": "0.009", "prec": 17}, "analytic_rank_proved": true, "char_values": [5290, 1, [2117, 2121], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 23], "conrey_indexes": [1], "field_disc": 1509, "field_disc_factorization": [[3, 1], [503, 1]], "field_poly": [4, -7, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.902", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "21.971", "prec": 20}, {"__RealLiteral__": 0, "data": "2.022", "prec": 17}, {"__RealLiteral__": 0, "data": "244.123", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1], [23, -1]], "trace_display": [3, -1, -3, -3], "traces": [0, 3, 3, -1, 3, -3, -1, -3, 3, 6, -3, -5, -1, -3, -3, 1, 3, -13, 6, 5, -3, 6, -5, 0, 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