# Stored data for newform 507.2.k.k, downloaded from the LMFDB on 18 April 2024. {"label": "507.2.k.k", "space_label": "507.2.k", "level": 507, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45036683502027259, "dim": 96, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [28561, 0, 0, 0, -1948739, 0, 0, 0, 126588436, 0, 0, 0, -429488449, 0, 0, 0, 1234590423, 0, 0, 0, -572477556, 0, 0, 0, 194548693, 0, 0, 0, -24827376, 0, 0, 0, 2225667, 0, 0, 0, -116261, 0, 0, 0, 4356, 0, 0, 0, -79, 0, 0, 0, 1]], [5, [4826809, 0, 0, 0, 10383698, 0, 0, 0, 4403113, 0, 0, 0, 611594, 0, 0, 0, 22390, 0, 0, 0, 272, 0, 0, 0, 1]], [7, [2883821021683985761, 0, 0, 0, -2088406508142472119, 0, 0, 0, 1213829471372994504, 0, 0, 0, -192887704689791041, 0, 0, 0, 22287675452459599, 0, 0, 0, -951538374678752, 0, 0, 0, 28036433707569, 0, 0, 0, -498423705248, 0, 0, 0, 6429650591, 0, 0, 0, -51260321, 0, 0, 0, 283808, 0, 0, 0, -623, 0, 0, 0, 1]]], "char_order": 12, "char_parity": 1, "char_degree": 4, 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"level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 13, 2, 1, 2, 0], [1, 1, 13, 3, 1, 3, 0], [1, 2, 13, 4, -1, 4, 0], [1, 1, 13, 5, 1, 6, 0], [1, 2, 13, 6, -1, 12, 0], [1, 1, 39, 4, -1, 2, 0], [1, 2, 39, 6, 1, 4, 0], [1, 1, 39, 8, -1, 6, 0], [1, 1, 39, 9, -1, 6, 0], [1, 2, 39, 11, 1, 12, 0]], "char_orbit_index": 11, "prim_orbit_index": 11, "minimal_twist": "507.2.f.g", "char_is_minimal": false, "conrey_index": 80, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}