# Stored data for newform 1856.4.a.l, downloaded from the LMFDB on 24 April 2024.
{"label": "1856.4.a.l", "space_label": "1856.4.a", "level": 1856, "weight": 4, "hecke_orbit": 12, "hecke_orbit_code": 49539595968186176, "dim": 2, "is_polredabs": true, "nf_label": "2.2.24.1", "trace_hash": 647976474667863673, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-5, -2, 1]], [5, [-191, -10, 1]], [7, [-320, 16, 1]]], "qexp_display": "q+(1+\\beta )q^{3}+(5-6\\beta )q^{5}+(-8-8\\beta )q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 29696, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 109.50754497065458, "hecke_ring_index": 1, "level_radical": 58, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [1856, 1, [639, 581, 321], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 29], "conrey_indexes": [1], "field_disc": 24, "field_disc_factorization": [[2, 3], [3, 1]], "field_poly": [-6, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.055", "prec": 17}, {"__RealLiteral__": 0, "data": "1.949", "prec": 17}, {"__RealLiteral__": 0, "data": "0.223", "prec": 17}, {"__RealLiteral__": 0, "data": "9.512", "prec": 17}, {"__RealLiteral__": 0, "data": "1.162", "prec": 17}, {"__RealLiteral__": 0, "data": "64.222", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [29, 1]], "trace_display": [0, 2, 10, -16], "traces": [0, 2, 0, 2, 0, 10, 0, -16, 0, -40, 0, 90, 0, 50, 0, -62, 0, -44, 0, -108, 0, -112, 0, -28, 0, 232, 0, 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