# Stored data for newform 2583.2.a.w, downloaded from the LMFDB on 03 May 2024.
{"label": "2583.2.a.w", "space_label": "2583.2.a", "level": 2583, "weight": 2, "hecke_orbit": 23, "hecke_orbit_code": 99079191835707927, "dim": 8, "is_polredabs": true, "trace_hash": 861764445431949081, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-15, 56, 28, -82, -4, 36, -6, -4, 1]], [5, [-25, -32, 202, -60, -124, 56, 10, -8, 1]], [11, [16, 2880, -1920, -896, 560, 80, -44, -2, 1]]], "qexp_display": "q+(1-\\beta _{1})q^{2}+(2-\\beta _{1}+\\beta _{2})q^{4}+(1+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 10332, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 20.625358842096723, "hecke_ring_index": 1, "level_radical": 861, "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": "0.007", "prec": 17}, "analytic_rank_proved": true, "char_values": [2583, 1, [2297, 2215, 1072], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [3, 7, 41], "conrey_indexes": [1], "field_disc": 2732646297856, "field_disc_factorization": [[2, 8], [31, 1], [199, 1], [569, 1], [3041, 1]], "field_poly": [10, 26, -28, -58, 16, 28, -6, -4, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.063", "prec": 17}, {"__RealLiteral__": 0, "data": "7.296", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "154.539", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5210.143", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], 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