# Stored data for newform 1560.4.a.n, downloaded from the LMFDB on 19 April 2024.
{"label": "1560.4.a.n", "space_label": "1560.4.a", "level": 1560, "weight": 4, "hecke_orbit": 14, "hecke_orbit_code": 58546795222926872, "dim": 4, "is_polredabs": true, "trace_hash": 2046800799370589599, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[7, [28416, -5616, -223, 34, 1]]], "qexp_display": "q+3q^{3}+5q^{5}+(-8-\\beta _{3})q^{7}+9q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24960, "fricke_eigenval": -1, "atkin_lehner_string": "+---", "analytic_conductor": 92.04297960895536, "hecke_ring_index": 64, "level_radical": 390, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [1560, 1, [391, 781, 521, 937, 1081], [1, 1, 1, 1, 1]], "hecke_ring_generator_nbound": 23, "inner_twist_count": 1, "level_primes": [2, 3, 5, 13], "conrey_indexes": [1], "field_disc": 14907273, "field_disc_factorization": [[3, 1], [4969091, 1]], "field_poly": [-4, -30, -41, -1, 1], "hecke_ring_index_factorization": [[2, 6]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.924", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "42.063", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "677.722", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, -1], [13, -1]], "trace_display": [0, 12, 20, -34], "traces": [0, 4, 0, 12, 0, 20, 0, -34, 0, 36, 0, -38, 0, 52, 0, 60, 0, -50, 0, -180, 0, 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