# Stored data for newform 605.2.a.d, downloaded from the LMFDB on 18 April 2024. {"label": "605.2.a.d", "space_label": "605.2.a", "level": 605, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915666525, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 409644560096128394, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 2, 1]], [3, [-8, 0, 1]]], "qexp_display": "q+(-1+\\beta )q^{2}+2\\beta q^{3}+(1-2\\beta )q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 2420, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 4.830949322287463, "hecke_ring_index": 1, "level_radical": 55, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 8, "field_poly_is_real_cyclotomic": true, "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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