# Stored data for newform 5610.2.a.cf, downloaded from the LMFDB on 16 April 2024.
{"label": "5610.2.a.cf", "space_label": "5610.2.a", "level": 5610, "weight": 2, "hecke_orbit": 58, "hecke_orbit_code": 256705178793678314, "dim": 4, "is_polredabs": true, "nf_label": "4.4.17428.1", "trace_hash": 1129003843661742686, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [16, 24, -4, -5, 1]], [13, [64, 56, -12, -6, 1]], [19, [-256, 208, -16, -8, 1]], [23, [-48, -80, -36, -1, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+(1-\\beta _{2}+\\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": 22440, "fricke_eigenval": -1, "atkin_lehner_string": "+-+++", "analytic_conductor": 44.79607553393829, "hecke_ring_index": 4, "level_radical": 5610, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [5610, 1, [1871, 3367, 1531, 3301], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 19, "inner_twist_count": 1, "level_primes": [2, 3, 5, 11, 17], "conrey_indexes": [1], "field_disc": 17428, "field_disc_factorization": [[2, 2], [4357, 1]], "field_poly": [6, 4, -6, -1, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.028", "prec": 17}, {"__RealLiteral__": 0, "data": "3.932", "prec": 17}, {"__RealLiteral__": 0, "data": "0.541", "prec": 17}, {"__RealLiteral__": 0, "data": "41.120", "prec": 20}, {"__RealLiteral__": 0, "data": "9.413", "prec": 17}, {"__RealLiteral__": 0, "data": "679.336", "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], [3, -1], [5, 1], [11, 1], [17, 1]], 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