# Stored data for newform 38.10.a.e, downloaded from the LMFDB on 23 April 2024. {"label": "38.10.a.e", "space_label": "38.10.a", "level": 38, "weight": 10, "hecke_orbit": 5, "hecke_orbit_code": 18014398677254182, "dim": 4, "is_polredabs": true, "trace_hash": 1408928419212709130, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-337930956, 8791740, -39131, -226, 1]]], "qexp_display": "q+2^{4}q^{2}+(57+\\beta _{2})q^{3}+2^{8}q^{4}+(218+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 3800, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 19.571361774227178, "hecke_ring_index": 48, "level_radical": 38, "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, 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