# Stored data for newform 4598.2.a.br, downloaded from the LMFDB on 16 April 2024. {"label": "4598.2.a.br", "space_label": "4598.2.a", "level": 4598, "weight": 2, "hecke_orbit": 44, "hecke_orbit_code": 193654784010490358, "dim": 4, "is_polredabs": true, "nf_label": "4.4.33452.1", "trace_hash": 360909476615187807, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-1, 7, -8, -1, 1]], [5, [-4, 36, -13, -3, 1]], [7, [-7, 19, -10, -1, 1]], [13, [-13, 15, 14, -9, 1]]], "qexp_display": "q-q^{2}+\\beta _{1}q^{3}+q^{4}+(1+\\beta _{2}+\\beta _{3})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 18392, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 36.71521484938472, "hecke_ring_index": 1, "level_radical": 418, "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": "0.011", "prec": 17}, "analytic_rank_proved": true, "char_values": [4598, 1, [3269, 3631], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 11, 19], "conrey_indexes": [1], "field_disc": 33452, "field_disc_factorization": [[2, 2], [8363, 1]], "field_poly": [-1, 7, -8, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.081", "prec": 17}, {"__RealLiteral__": 0, "data": "3.848", "prec": 17}, {"__RealLiteral__": 0, "data": "1.274", "prec": 17}, {"__RealLiteral__": 0, "data": "41.772", "prec": 20}, {"__RealLiteral__": 0, "data": "34.110", "prec": 20}, {"__RealLiteral__": 0, "data": "710.083", "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, 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