# Stored data for newform 117.4.a.e, downloaded from the LMFDB on 25 April 2024. {"label": "117.4.a.e", "space_label": "117.4.a", "level": 117, "weight": 4, "hecke_orbit": 5, "hecke_orbit_code": 18014398576590965, "dim": 2, "is_polredabs": true, "nf_label": "2.2.28.1", "trace_hash": 1235423278792247480, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-7, 0, 1]]], "qexp_display": "q+\\beta q^{2}-q^{4}-4\\beta q^{5}-22q^{7}-9\\beta q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 1872, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 6.9032234706716515, "hecke_ring_index": 1, "level_radical": 39, "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": 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