# Stored data for newform 4830.2.a.by, downloaded from the LMFDB on 25 April 2024.
{"label": "4830.2.a.by", "space_label": "4830.2.a", "level": 4830, "weight": 2, "hecke_orbit": 51, "hecke_orbit_code": 225179981402084062, "dim": 3, "is_polredabs": true, "nf_label": "3.3.148.1", "trace_hash": 1058684029449831161, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[11, [-32, -16, 4, 1]], [13, [-2, 1]], [17, [-104, -36, 2, 1]], [19, [32, -16, -4, 1]], [29, [8, -20, -2, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 19320, "fricke_eigenval": -1, "atkin_lehner_string": "++---", "analytic_conductor": 38.567744176278424, "hecke_ring_index": 8, "level_radical": 4830, "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": "0.013", "prec": 17}, "analytic_rank_proved": true, "char_values": [4830, 1, [3221, 967, 2761, 1891], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 17, "inner_twist_count": 1, "level_primes": [2, 3, 5, 7, 23], "conrey_indexes": [1], "field_disc": 148, "field_disc_factorization": [[2, 2], [37, 1]], "field_poly": [1, -3, -1, 1], "hecke_ring_index_factorization": [[2, 3]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.024", "prec": 17}, {"__RealLiteral__": 0, "data": "2.866", "prec": 17}, {"__RealLiteral__": 0, "data": "0.333", "prec": 17}, {"__RealLiteral__": 0, "data": "21.577", "prec": 20}, {"__RealLiteral__": 0, "data": "5.854", "prec": 17}, {"__RealLiteral__": 0, "data": "235.275", "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], [7, -1], [23, -1]], "trace_display": [-3, -3, 3, 3], 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