# Stored data for newform 138.8.a.f, downloaded from the LMFDB on 25 April 2024.
{"label": "138.8.a.f", "space_label": "138.8.a", "level": 138, "weight": 8, "hecke_orbit": 6, "hecke_orbit_code": 22517998271070346, "dim": 4, "is_polredabs": true, "trace_hash": 319064271565537439, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [13799586000, -15953000, -239400, 162, 1]]], "qexp_display": "q-8q^{2}+3^{3}q^{3}+2^{6}q^{4}+(-40-\\beta _{1}+\\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": 8832, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 43.109133516808804, "hecke_ring_index": 48, "level_radical": 138, "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": 0, "analytic_rank_proved": true, "char_values": [138, 1, [47, 97], [1, 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