# Stored data for newform 4334.2.a.a, downloaded from the LMFDB on 24 April 2024.
{"label": "4334.2.a.a", "space_label": "4334.2.a", "level": 4334, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33558766, "dim": 15, "is_polredabs": true, "trace_hash": 1512462305666597827, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-4, -20, 79, 316, -288, -1128, 465, 1417, -353, -761, 124, 194, -19, -23, 1, 1]]], "qexp_display": "q-q^{2}-\\beta _{1}q^{3}+q^{4}-\\beta _{2}q^{5}+\\beta _{1}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 17336, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 34.60716423602292, "hecke_ring_index": 1, "level_radical": 4334, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [4334, 1, [1971, 199], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 11, 197], "conrey_indexes": [1], "field_disc": 32318002011375149674451073, "field_disc_factorization": [[3, 1], [73, 1], [2089, 1], [3167, 1], [39364187, 1], [566647007, 1]], "field_poly": [4, -20, -79, 316, 288, -1128, -465, 1417, 353, -761, -124, 194, 19, -23, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.412", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "333.556", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "17759.967", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 15, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [11, 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