# Stored data for newform 507.2.f.f, downloaded from the LMFDB on 19 April 2024. {"label": "507.2.f.f", "space_label": "507.2.f", "level": 507, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22518341767791099, "dim": 8, "is_polredabs": true, "nf_label": "8.0.56070144.2", "trace_hash": 1056548016095366539, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [169, 0, 0, 0, 38, 0, 0, 0, 1]], [5, [169, 0, 0, 0, 38, 0, 0, 0, 1]], [7, [2, -2, 1]]], "qexp_display": "q+(\\beta _{1}+\\beta _{2}+\\beta _{4})q^{2}+(1-\\beta _{2}-\\beta _{4}+\\cdots)q^{3}+\\cdots", "char_order": 4, "char_parity": 1, "char_degree": 2, "char_conductor": 39, "char_orbit_label": "f", "char_is_real": false, "Nk2": 2028, "analytic_conductor": 4.0484153824789155, "hecke_ring_index": 4, "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": false, 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