# Stored data for newform 5610.2.a.by, downloaded from the LMFDB on 25 April 2024.
{"label": "5610.2.a.by", "space_label": "5610.2.a", "level": 5610, "weight": 2, "hecke_orbit": 51, "hecke_orbit_code": 225179981402084842, "dim": 3, "is_polredabs": true, "nf_label": "3.3.81.1", "trace_hash": 1845149293639871702, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [-8, -12, 0, 1]], [13, [136, -24, -6, 1]], [19, [136, -24, -6, 1]], [23, [-24, 0, 6, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+\\beta _{1}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": 8, "level_radical": 5610, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 18, "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": "0.020", "prec": 17}, "analytic_rank_proved": true, "char_values": [5610, 1, [1871, 3367, 1531, 3301], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 5, 11, 17], "conrey_indexes": [1], "field_disc": 81, "field_disc_factorization": [[3, 4]], "field_poly": [-1, -3, 0, 1], "hecke_ring_index_factorization": [[2, 3]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.010", "prec": 17}, {"__RealLiteral__": 0, "data": "2.821", "prec": 17}, {"__RealLiteral__": 0, "data": "0.053", "prec": 17}, {"__RealLiteral__": 0, "data": "21.503", "prec": 20}, {"__RealLiteral__": 0, "data": "1.489", "prec": 17}, {"__RealLiteral__": 0, "data": "256.097", "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], [3, -1], [5, 1], [11, -1], [17, -1]], "trace_display": [-3, 3, -3, 0], "traces": [0, 3, -3, 3, 3, -3, 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