# Stored data for newform 8470.2.a.cu, downloaded from the LMFDB on 19 April 2024.
{"label": "8470.2.a.cu", "space_label": "8470.2.a", "level": 8470, "weight": 2, "hecke_orbit": 73, "hecke_orbit_code": 324259173204238614, "dim": 6, "is_polredabs": true, "nf_label": "6.6.38498000.1", "trace_hash": 230430150927981410, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [11, 43, -14, -33, -2, 5, 1]], [13, [-556, -256, 316, 34, -38, 0, 1]], [17, [545, -725, -1076, 305, 36, -15, 1]], [19, [-401, 963, -692, 103, 40, -13, 1]]], "qexp_display": "q-q^{2}+(-1+\\beta _{1})q^{3}+q^{4}-q^{5}+(1+\\cdots)q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 33880, "fricke_eigenval": -1, "atkin_lehner_string": "+++-", "analytic_conductor": 67.63329051202449, "hecke_ring_index": 1, "level_radical": 770, "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": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [8470, 1, [6777, 6051, 7141], [1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 5, 7, 11], "conrey_indexes": [1], "field_disc": 38498000, "field_disc_factorization": [[2, 4], [5, 3], [19249, 1]], "field_poly": [-19, -1, 38, 5, -12, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.074", "prec": 17}, {"__RealLiteral__": 0, "data": "5.370", "prec": 17}, {"__RealLiteral__": 0, "data": "1.502", "prec": 17}, {"__RealLiteral__": 0, "data": "87.993", "prec": 20}, {"__RealLiteral__": 0, "data": "75.270", "prec": 20}, {"__RealLiteral__": 0, "data": "2380.419", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], 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