# Stored data for newform 1690.2.e.s, downloaded from the LMFDB on 08 December 2025. {"Nk2": 6760, "analytic_conductor": 13.494717941596384, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 13, "char_degree": 2, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 5, "char_orbit_label": "e", "char_order": 3, "char_parity": 1, "char_values": [1690, 3, [677, 171], [3, 2]], "cm_discs": [], "conrey_index": 191, "dim": 8, "field_disc": 22581504, "field_disc_factorization": [[2, 8], [3, 6], [11, 2]], "field_poly": [16, -32, 20, 4, -11, 2, 5, -4, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "has_non_self_twist": 1, "hecke_cutters": [[3, [16, -16, 40, 8, 40, -4, 10, 2, 1]], [7, [1089, 0, 594, 0, 291, 0, 18, 0, 1]], [11, [81, 486, 2970, -216, 351, -72, 42, -6, 1]], [19, [9, 18, 54, 0, 75, 48, 30, 6, 1]], [31, [-12, -132, 90, -18, 1]]], "hecke_orbit": 19, "hecke_orbit_code": 81065068204131994, 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