# Stored data for newform 1336.2.a.e, downloaded from the LMFDB on 24 April 2024.
{"label": "1336.2.a.e", "space_label": "1336.2.a", "level": 1336, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18014398543037752, "dim": 12, "is_polredabs": true, "trace_hash": 1888058344691403182, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [224, 1224, 148, -2399, -433, 1804, 129, -641, 36, 100, -15, -5, 1]]], "qexp_display": "q+\\beta _{1}q^{3}+\\beta _{9}q^{5}+(1+\\beta _{11})q^{7}+(2+\\cdots)q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5344, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 10.66801371004306, "hecke_ring_index": 1, "level_radical": 334, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [1336, 1, [335, 669, 673], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 167], "conrey_indexes": [1], "field_disc": 3885218539226891136824, "field_disc_factorization": [[2, 3], [485652317403361392103, 1]], "field_poly": [224, 1224, 148, -2399, -433, 1804, 129, -641, 36, 100, -15, -5, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.128", "prec": 17}, {"__RealLiteral__": 0, "data": "11.003", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "363.478", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "21400.285", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 12, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [167, -1]], "trace_display": [0, 5, -2, 10], 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