# Stored data for newform 2541.2.a.u, downloaded from the LMFDB on 25 April 2024.
{"label": "2541.2.a.u", "space_label": "2541.2.a", "level": 2541, "weight": 2, "hecke_orbit": 21, "hecke_orbit_code": 90071992580966893, "dim": 2, "is_polredabs": true, "nf_label": "2.2.17.1", "trace_hash": 1159302951653813599, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-4, 1, 1]], [5, [-1, 1]], [13, [8, 7, 1]]], "qexp_display": "q-\\beta q^{2}+q^{3}+(2+\\beta )q^{4}+q^{5}-\\beta q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 10164, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 20.289987153607346, "hecke_ring_index": 1, "level_radical": 231, "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": "0.013", "prec": 17}, "analytic_rank_proved": true, "char_values": [2541, 1, [848, 1816, 2059], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 7, 11], "conrey_indexes": [1], "field_disc": 17, "field_disc_factorization": [[17, 1]], "field_poly": [-4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.904", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.841", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "57.552", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [7, 1], [11, -1]], "trace_display": [-1, 2, 2, -2], "traces": [0, 2, -1, 2, 5, 2, -1, -2, -9, 2, -1, 0, 5, -7, 1, 2, 3, 0, -1, -12, 5, -2, 0, -8, -9, -8, -5, 2, -5, 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