# Stored data for newform 1568.2.a.w, downloaded from the LMFDB on 19 April 2024. {"label": "1568.2.a.w", "space_label": "1568.2.a", "level": 1568, "weight": 2, "hecke_orbit": 23, "hecke_orbit_code": 99079191835706912, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 1973529944440586760, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-1, -2, 1]], [5, [-7, -2, 1]], [11, [-1, 2, 1]]], "qexp_display": "q+(1+\\beta )q^{3}+(1+2\\beta )q^{5}+2\\beta q^{9}+(-1+\\cdots)q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 6272, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 12.520543036936765, "hecke_ring_index": 1, "level_radical": 14, "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": 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