# Stored data for newform 1856.4.a.o, downloaded from the LMFDB on 19 April 2024. {"label": "1856.4.a.o", "space_label": "1856.4.a", "level": 1856, "weight": 4, "hecke_orbit": 15, "hecke_orbit_code": 63050394850297664, "dim": 3, "is_polredabs": true, "nf_label": "3.3.148344.1", "trace_hash": 1939790928365357327, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-412, -37, 10, 1]], [5, [734, -43, -20, 1]], [7, [-15552, -1016, 8, 1]]], "qexp_display": "q+(-3-\\beta _{1})q^{3}+(7-\\beta _{2})q^{5}+(-4+\\cdots)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": 148344, "field_disc_factorization": [[2, 3], [3, 1], [7, 1], [883, 1]], "field_poly": [238, -70, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.755", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "20.886", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "238.323", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [29, 1]], 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