# Stored data for newform 507.2.j.h, downloaded from the LMFDB on 23 April 2024. {"label": "507.2.j.h", "space_label": "507.2.j", "level": 507, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31525815900439035, "dim": 12, "is_polredabs": true, "nf_label": "12.0.17213603549184.1", "trace_hash": 908611771894120529, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [1, 0, -6, 0, 31, 0, -28, 0, 19, 0, -5, 0, 1]], [5, [1, 0, 17, 0, 10, 0, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(-1+\\beta _{7})q^{3}+(1-\\beta _{3}+\\beta _{4}+\\cdots)q^{4}+\\cdots", "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 13, "char_orbit_label": "j", "char_is_real": false, "Nk2": 2028, "analytic_conductor": 4.0484153824789155, "hecke_ring_index": 1, "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, "is_self_twist": 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