# Stored data for newform 5070.2.a.bz, downloaded from the LMFDB on 29 March 2024. {"label": "5070.2.a.bz", "space_label": "5070.2.a", "level": 5070, "weight": 2, "hecke_orbit": 52, "hecke_orbit_code": 229683581029454798, "dim": 4, "is_polredabs": true, "nf_label": "4.4.131472.2", "trace_hash": 1191941358069481088, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [52, -20, -19, 2, 1]], [11, [181, 62, -34, -2, 1]], [17, [-4, 1]], [31, [-956, -556, -79, 4, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-\\beta _{1}q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 20280, "fricke_eigenval": -1, "atkin_lehner_string": "+---", "analytic_conductor": 40.48415382478915, "hecke_ring_index": 1, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [5070, 1, [1691, 4057, 1861], [1, 1, 1]], "hecke_ring_generator_nbound": 23, "inner_twist_count": 1, "level_primes": [2, 3, 5, 13], "conrey_indexes": [1], "field_disc": 131472, "field_disc_factorization": [[2, 4], [3, 2], [11, 1], [83, 1]], "field_poly": [52, 20, -19, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.063", "prec": 17}, {"__RealLiteral__": 0, "data": "3.789", "prec": 17}, {"__RealLiteral__": 0, "data": "0.696", "prec": 17}, {"__RealLiteral__": 0, "data": "37.097", "prec": 20}, {"__RealLiteral__": 0, "data": "11.412", "prec": 20}, {"__RealLiteral__": 0, "data": "527.803", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", 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