# Stored data for newform 2541.2.a.br, downloaded from the LMFDB on 19 April 2024.
{"label": "2541.2.a.br", "space_label": "2541.2.a", "level": 2541, "weight": 2, "hecke_orbit": 44, "hecke_orbit_code": 193654784010488301, "dim": 10, "is_polredabs": true, "trace_hash": 1184391825073062757, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-11, 70, 253, -17, -316, -6, 124, 1, -19, 0, 1]], [5, [4336, -2392, -6768, 4812, 1751, -1873, 108, 179, -28, -5, 1]], [13, [2816, 74752, 90048, 12448, -19424, -4808, 1540, 334, -65, -6, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+q^{3}+(2+\\beta _{2})q^{4}-\\beta _{6}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": 4, "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": 5, "inner_twist_count": 1, "level_primes": [3, 7, 11], "conrey_indexes": [1], "field_disc": 6459452223578125, "field_disc_factorization": [[5, 6], [701, 1], [589736009, 1]], "field_poly": [-11, -70, 253, 17, -316, 6, 124, -1, -19, 0, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.127", "prec": 17}, {"__RealLiteral__": 0, "data": "8.732", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "233.734", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10944.559", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 10, 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