# Stored data for newform 4998.2.a.cl, downloaded from the LMFDB on 14 May 2024.
{"label": "4998.2.a.cl", "space_label": "4998.2.a", "level": 4998, "weight": 2, "hecke_orbit": 64, "hecke_orbit_code": 283726776557900678, "dim": 4, "is_polredabs": true, "nf_label": "4.4.31808.1", "trace_hash": 2082879413779921090, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [28, 12, -11, -2, 1]], [11, [28, 4, -21, 2, 1]], [13, [8, -24, 1, 6, 1]], [23, [56, -56, -2, 8, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}+\\beta _{1}q^{5}+q^{6}-q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 19992, "fricke_eigenval": -1, "atkin_lehner_string": "+++-", "analytic_conductor": 39.909230930235935, "hecke_ring_index": 1, "level_radical": 714, "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": [4998, 1, [1667, 2551, 4117], [1, 1, 1]], "hecke_ring_generator_nbound": 23, "inner_twist_count": 1, "level_primes": [2, 3, 7, 17], "conrey_indexes": [1], "field_disc": 31808, "field_disc_factorization": [[2, 6], [7, 1], [71, 1]], "field_poly": [28, 12, -11, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.068", "prec": 17}, {"__RealLiteral__": 0, "data": "3.784", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "39.943", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "627.124", "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], [7, 1], [17, -1]], "trace_display": [-4, -4, 2, 0], "traces": [0, 4, 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