# Stored data for newform 2640.2.a.x, downloaded from the LMFDB on 28 March 2024. {"label": "2640.2.a.x", "space_label": "2640.2.a", "level": 2640, "weight": 2, "hecke_orbit": 24, "hecke_orbit_code": 103582791463078480, "dim": 2, "is_polredabs": true, "nf_label": "2.2.12.1", "trace_hash": 695684775453367088, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[7, [2, 1]], [13, [-8, -4, 1]], [17, [0, 1]], [19, [-8, 4, 1]]], "qexp_display": "q-q^{3}-q^{5}-2q^{7}+q^{9}+q^{11}+(2+\\cdots)q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 10560, "fricke_eigenval": 1, "atkin_lehner_string": "-++-", "analytic_conductor": 21.080506133618023, "hecke_ring_index": 2, "level_radical": 330, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 12, "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": "0.043", "prec": 17}, "analytic_rank_proved": true, "char_values": [2640, 1, [991, 661, 881, 1057, 1201], [1, 1, 1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 3, 5, 11], "conrey_indexes": [1], "field_disc": 12, "field_disc_factorization": [[2, 2], [3, 1]], "field_poly": [-3, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.964", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.310", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "60.552", "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], [11, -1]], "trace_display": [0, 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