# Stored data for newform 2541.2.a.bn, downloaded from the LMFDB on 19 April 2024.
{"label": "2541.2.a.bn", "space_label": "2541.2.a", "level": 2541, "weight": 2, "hecke_orbit": 40, "hecke_orbit_code": 175640385501006317, "dim": 4, "is_polredabs": true, "nf_label": "4.4.725.1", "trace_hash": 1870847406663876836, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 7, -5, -1, 1]], [5, [16, -24, -8, 4, 1]], [13, [16, 16, -8, -6, 1]]], "qexp_display": "q+(1-\\beta _{1}-\\beta _{2})q^{2}-q^{3}+(\\beta _{1}+\\beta _{3})q^{4}+\\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": "0.008", "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": 725, "field_disc_factorization": [[5, 2], [29, 1]], "field_poly": [1, 1, -3, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.645", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "37.658", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "595.053", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [7, 1], [11, 1]], "trace_display": [1, -4, -4, -4], "traces": [0, 4, 1, -4, 3, -4, -1, -4, -9, 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