# Stored data for newform 2583.2.a.r, downloaded from the LMFDB on 28 March 2024. {"label": "2583.2.a.r", "space_label": "2583.2.a", "level": 2583, "weight": 2, "hecke_orbit": 18, "hecke_orbit_code": 76561193698855447, "dim": 5, "is_polredabs": true, "nf_label": "5.5.633117.1", "trace_hash": 166400449103452639, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-3, 6, 4, -6, -1, 1]], [5, [-24, -96, 86, -11, -5, 1]], [11, [2472, 972, -140, -63, 2, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+(1+\\beta _{2}-\\beta _{3}+\\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": 2, "inner_twist_count": 1, "level_primes": [3, 7, 41], "conrey_indexes": [1], "field_disc": 633117, "field_disc_factorization": [[3, 1], [211039, 1]], "field_poly": [-3, 6, 4, -6, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.076", "prec": 17}, {"__RealLiteral__": 0, "data": "4.621", "prec": 17}, {"__RealLiteral__": 0, "data": "0.608", "prec": 17}, {"__RealLiteral__": 0, "data": "57.908", "prec": 20}, {"__RealLiteral__": 0, "data": "6.136", "prec": 17}, {"__RealLiteral__": 0, "data": "1056.963", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", 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