# Stored data for newform 2541.2.a.y, downloaded from the LMFDB on 28 March 2024. {"label": "2541.2.a.y", "space_label": "2541.2.a", "level": 2541, "weight": 2, "hecke_orbit": 25, "hecke_orbit_code": 108086391090448877, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1815404780066497199, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, -1, 1]], [5, [-5, 0, 1]], [13, [-1, 4, 1]]], "qexp_display": "q+\\beta q^{2}-q^{3}+(-1+\\beta )q^{4}+(1-2\\beta )q^{5}+\\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": 10, "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": "0.028", "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": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.897", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.072", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "62.575", "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, 0, 2], "traces": [0, 2, 1, -2, -1, 0, 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