# Stored data for newform 324.6.a.e, downloaded from the LMFDB on 23 April 2024.
{"label": "324.6.a.e", "space_label": "324.6.a", "level": 324, "weight": 6, "hecke_orbit": 5, "hecke_orbit_code": 18014398610145604, "dim": 5, "is_polredabs": true, "trace_hash": 255969813243728385, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [65069568, 7030800, -56727, -9981, -21, 1]]], "qexp_display": "q+(4+\\beta _{2})q^{5}+(-6-\\beta _{1}+\\beta _{2})q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 11664, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 51.964357619405725, "hecke_ring_index": 34992, "level_radical": 6, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [324, 1, [163, 245], [1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3], "conrey_indexes": [1], "field_disc": 154255697469, "field_disc_factorization": [[3, 2], [17, 1], [1008207173, 1]], "field_poly": [-1944, 2214, 39, -110, -2, 1], "hecke_ring_index_factorization": [[2, 4], [3, 7]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.013", "prec": 17}, {"__RealLiteral__": 0, "data": "4.686", "prec": 17}, {"__RealLiteral__": 0, "data": "1.096", "prec": 17}, {"__RealLiteral__": 0, "data": "57.248", "prec": 20}, {"__RealLiteral__": 0, "data": "37.164", "prec": 20}, {"__RealLiteral__": 0, "data": "1037.944", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1]], "trace_display": [0, 0, 21, -29], "traces": [0, 5, 0, 0, 0, 21, 0, -29, 0, 0, 0, -177, 0, 181, 0, 0, 0, 1140, 0, 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