# Stored data for newform 8470.2.a.cp, downloaded from the LMFDB on 24 April 2024.
{"label": "8470.2.a.cp", "space_label": "8470.2.a", "level": 8470, "weight": 2, "hecke_orbit": 68, "hecke_orbit_code": 301741175067386134, "dim": 4, "is_polredabs": true, "nf_label": "4.4.2304.1", "trace_hash": 241032544250164918, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-1, 2, 1]], [13, [-23, -48, -22, 0, 1]], [17, [-2, 4, 1]], [19, [-167, 60, 26, -12, 1]]], "qexp_display": "q-q^{2}+(-1+\\beta _{2})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": 2, "level_radical": 770, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 24, "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": {"__RealLiteral__": 0, "data": "0.034", "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": 2304, "field_disc_factorization": [[2, 8], [3, 2]], "field_poly": [1, 0, -4, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.793", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "37.786", "prec": 20}, {"__RealLiteral__": 0, "data": "3.140", "prec": 17}, {"__RealLiteral__": 0, "data": "568.831", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, -1], [7, -1], [11, 1]], "trace_display": [-4, -4, 4, 4], "traces": [0, 4, -4, -4, 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