# Stored data for newform 4598.2.a.bc, downloaded from the LMFDB on 13 November 2024. {"Nk2": 18392, "analytic_conductor": 36.71521484938472, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [11, -1], [19, 1]], "atkin_lehner_string": "--+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [4598, 1, [3269, 3631], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 13, "field_disc_factorization": [[13, 1]], "field_poly": [-3, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[3, [-1, 3, 1]], [5, [-3, 1, 1]], [7, [-3, -1, 1]], [13, [-1, -3, 1]]], "hecke_orbit": 29, "hecke_orbit_code": 126100789599932918, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "4598.2.a.bc", "level": 4598, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 11, 19], "level_radical": 418, "minimal_twist": "418.2.a.d", "nf_label": "2.2.13.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+(-1-\\beta )q^{3}+q^{4}+(-1+\\beta )q^{5}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "4598.2.a", "trace_display": [2, -3, -1, 1], "trace_hash": 2059888385634532016, "trace_moments": [{"__RealLiteral__": 0, "data": 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