# Stored data for newform 8470.2.a.bp, downloaded from the LMFDB on 28 March 2024. {"label": "8470.2.a.bp", "space_label": "8470.2.a", "level": 8470, "weight": 2, "hecke_orbit": 42, "hecke_orbit_code": 184647584755753238, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 922752311512063464, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-1, -1, 1]], [13, [4, 6, 1]], [17, [1, -3, 1]], [19, [9, -9, 1]]], "qexp_display": "q-q^{2}+\\beta q^{3}+q^{4}-q^{5}-\\beta q^{6}+q^{7}+\\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": 10, "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": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [8470, 1, [6777, 6051, 7141], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 7, 11], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.064", "prec": 17}, {"__RealLiteral__": 0, "data": "2.005", "prec": 17}, {"__RealLiteral__": 0, "data": "0.450", "prec": 17}, {"__RealLiteral__": 0, "data": "9.660", "prec": 17}, {"__RealLiteral__": 0, "data": "3.261", "prec": 17}, {"__RealLiteral__": 0, "data": "64.967", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, 1], [7, -1], [11, 1]], "trace_display": [-2, 1, 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