# Stored data for newform 4998.2.a.co, downloaded from the LMFDB on 28 March 2024. {"label": "4998.2.a.co", "space_label": "4998.2.a", "level": 4998, "weight": 2, "hecke_orbit": 67, "hecke_orbit_code": 297237575440012166, "dim": 4, "is_polredabs": true, "nf_label": "4.4.16448.2", "trace_hash": 1043259520165664518, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-4, -20, -11, 2, 1]], [11, [-124, 52, 19, -10, 1]], [13, [-32, -32, 1, 6, 1]], [23, [56, 8, -18, 0, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}+(-\\beta _{1}+\\beta _{2})q^{5}+\\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": 16448, "field_disc_factorization": [[2, 6], [257, 1]], "field_poly": [14, 8, -7, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.066", "prec": 17}, {"__RealLiteral__": 0, "data": "3.803", "prec": 17}, {"__RealLiteral__": 0, "data": "0.982", "prec": 17}, {"__RealLiteral__": 0, "data": "41.215", "prec": 20}, {"__RealLiteral__": 0, "data": "22.864", "prec": 20}, {"__RealLiteral__": 0, "data": "715.895", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", 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