# Stored data for newform 8470.2.a.cz, downloaded from the LMFDB on 23 April 2024.
{"label": "8470.2.a.cz", "space_label": "8470.2.a", "level": 8470, "weight": 2, "hecke_orbit": 78, "hecke_orbit_code": 346777171341091094, "dim": 6, "is_polredabs": true, "nf_label": "6.6.10784448.1", "trace_hash": 1031543116640733150, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [2, -3, -2, 1]], [13, [-108, 0, 441, 0, -42, 0, 1]], [17, [38, -24, 1, 1]], [19, [709, 944, 283, -80, -41, 0, 1]]], "qexp_display": "q-q^{2}+(1+\\beta _{3})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": 4, "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": "0.019", "prec": 17}, "analytic_rank_proved": true, "char_values": [8470, 1, [6777, 6051, 7141], [1, 1, 1]], "hecke_ring_generator_nbound": 19, "inner_twist_count": 1, "level_primes": [2, 5, 7, 11], "conrey_indexes": [1], "field_disc": 10784448, "field_disc_factorization": [[2, 6], [3, 3], [79, 2]], "field_poly": [-2, 22, 31, -4, -11, 0, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.168", "prec": 17}, {"__RealLiteral__": 0, "data": "5.289", "prec": 17}, {"__RealLiteral__": 0, "data": "2.310", "prec": 17}, {"__RealLiteral__": 0, "data": "83.253", "prec": 20}, {"__RealLiteral__": 0, "data": "55.407", "prec": 20}, {"__RealLiteral__": 0, "data": "2250.739", "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], [5, -1], [7, 1], [11, 1]], 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