# Stored data for newform 560.4.a.r, downloaded from the LMFDB on 24 April 2024.
{"label": "560.4.a.r", "space_label": "560.4.a", "level": 560, "weight": 4, "hecke_orbit": 18, "hecke_orbit_code": 76561193732407856, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 973275655504285842, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-31, 2, 1]], [11, [-1999, -14, 1]]], "qexp_display": "q+(-1+\\beta )q^{3}-5q^{5}+7q^{7}+(6-2\\beta )q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8960, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 33.041069603214744, "hecke_ring_index": 4, "level_radical": 70, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 8, "field_poly_is_real_cyclotomic": true, "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": 0, "analytic_rank_proved": true, "char_values": [560, 1, [351, 421, 337, 241], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 7], "conrey_indexes": [1], "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.031", "prec": 17}, {"__RealLiteral__": 0, "data": "1.929", "prec": 17}, {"__RealLiteral__": 0, "data": "0.151", "prec": 17}, {"__RealLiteral__": 0, "data": "9.115", "prec": 17}, {"__RealLiteral__": 0, "data": "1.313", "prec": 17}, {"__RealLiteral__": 0, "data": "59.495", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1], [7, -1]], "trace_display": [0, -2, -10, 14], "traces": [0, 2, 0, -2, 0, -10, 0, 14, 0, 12, 0, 14, 0, 50, 0, 10, 0, -50, 0, -36, 0, -14, 0, -244, 0, 50, 0, -86, 0, -26, 0, 120, 0, 498, 0, -70, 0, 564, 0, 14, 0, -328, 0, 260, 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