# Stored data for newform 1710.2.a.x, downloaded from the LMFDB on 18 April 2024. {"label": "1710.2.a.x", "space_label": "1710.2.a", "level": 1710, "weight": 2, "hecke_orbit": 24, "hecke_orbit_code": 103582791463077550, "dim": 2, "is_polredabs": true, "nf_label": "2.2.17.1", "trace_hash": 1146579671339902633, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [-16, -2, 1]], [11, [-2, 1]], [13, [-4, 1]], [53, [-52, -8, 1]]], "qexp_display": "q+q^{2}+q^{4}-q^{5}+(1+\\beta )q^{7}+q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 6840, "fricke_eigenval": -1, "atkin_lehner_string": "-+++", "analytic_conductor": 13.654418745638946, "hecke_ring_index": 2, "level_radical": 570, "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": "0.027", "prec": 17}, "analytic_rank_proved": true, "char_values": [1710, 1, [191, 1027, 1351], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 5, 19], "conrey_indexes": [1], "field_disc": 17, "field_disc_factorization": [[17, 1]], "field_poly": [-4, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.020", "prec": 17}, {"__RealLiteral__": 0, "data": "2.045", "prec": 17}, {"__RealLiteral__": 0, "data": "0.070", "prec": 17}, {"__RealLiteral__": 0, "data": "10.013", "prec": 20}, {"__RealLiteral__": 0, "data": "0.305", "prec": 17}, {"__RealLiteral__": 0, "data": "68.169", "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], [3, 1], [5, 1], [19, 1]], "trace_display": [2, 0, -2, 2], "traces": 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