# Stored data for newform 5610.2.a.ck, downloaded from the LMFDB on 24 April 2024.
{"label": "5610.2.a.ck", "space_label": "5610.2.a", "level": 5610, "weight": 2, "hecke_orbit": 63, "hecke_orbit_code": 279223176930530794, "dim": 5, "is_polredabs": true, "nf_label": "5.5.19985813.1", "trace_hash": 1550512062906207375, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [-80, 28, 62, -25, -2, 1]], [13, [-128, -48, 84, 6, -9, 1]], [19, [-128, -112, 68, 22, -11, 1]], [23, [2400, 1324, 26, -71, -4, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-\\beta _{2}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": "0.008", "prec": 17}, "analytic_rank_proved": true, "char_values": [5610, 1, [1871, 3367, 1531, 3301], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 3, 5, 11, 17], "conrey_indexes": [1], "field_disc": 19985813, "field_disc_factorization": [[19985813, 1]], "field_poly": [-24, 40, 28, -23, -2, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.043", "prec": 17}, {"__RealLiteral__": 0, "data": "4.952", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "66.612", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1339.408", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, -1], [11, 1], 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