# Stored data for newform 2541.2.a.bj, downloaded from the LMFDB on 20 April 2024. {"label": "2541.2.a.bj", "space_label": "2541.2.a", "level": 2541, "weight": 2, "hecke_orbit": 36, "hecke_orbit_code": 157625986991524333, "dim": 3, "is_polredabs": true, "nf_label": "3.3.316.1", "trace_hash": 1883502119363946731, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [2, -4, -1, 1]], [5, [-1, -7, -1, 1]], [13, [-2, 12, -7, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+q^{3}+(1+\\beta _{2})q^{4}+(\\beta _{1}-\\beta _{2})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": 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": [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": 316, "field_disc_factorization": [[2, 2], [79, 1]], "field_poly": [2, -4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.065", "prec": 17}, {"__RealLiteral__": 0, "data": "2.880", "prec": 17}, {"__RealLiteral__": 0, "data": "0.652", "prec": 17}, {"__RealLiteral__": 0, "data": "22.718", "prec": 20}, {"__RealLiteral__": 0, "data": "9.228", "prec": 17}, {"__RealLiteral__": 0, "data": "268.724", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [7, -1], [11, -1]], 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