# Stored data for newform 6039.2.a.a, downloaded from the LMFDB on 25 April 2024.
{"label": "6039.2.a.a", "space_label": "6039.2.a", "level": 6039, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33560471, "dim": 5, "is_polredabs": true, "nf_label": "5.5.24217.1", "trace_hash": 460601195552122186, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 2, 4, -3, -2, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(-2\\beta _{1}-\\beta _{2}+\\beta _{4})q^{4}+\\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": 24156, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 48.22165778065122, "hecke_ring_index": 1, "level_radical": 2013, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [6039, 1, [1343, 5491, 5248], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 11, 61], "conrey_indexes": [1], "field_disc": 24217, "field_disc_factorization": [[61, 1], [397, 1]], "field_poly": [1, 3, -1, -5, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.685", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "57.931", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1070.054", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [11, 1], [61, -1]], "trace_display": [2, 0, 2, -1], "traces": [0, 5, 2, 0, 0, 2, 0, -1, 6, 0, 5, -5, 0, -10, 3, 0, 2, 3, 0, -13, 0, 0, -2, 0, 0, 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