# Stored data for newform 539.2.q.f, downloaded from the LMFDB on 19 April 2024. {"label": "539.2.q.f", "space_label": "539.2.q", "level": 539, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22519097682035227, "dim": 32, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [625, -5000, 22500, -93750, 258750, 35000, -792625, 1052375, 254500, -1243500, 1094250, -1232125, 928775, -59500, 175350, -403550, 95925, 15325, 5420, 14130, 11570, -19805, 4375, 210, 156, 328, -125, -77, 14, 22, -5, -3, 1]], [3, [65536, -32768, -983040, 6823936, 7659520, -46272512, 123142144, -438679040, 683738368, 579908736, 78207168, 25613632, -34861104, -135013072, 1967068, 23755248, 12609261, -724842, -1899947, -1042822, -9459, 222742, 30888, -22174, -2647, 1740, 234, -32, 20, -24, -10, 2, 1]]], "char_order": 15, "char_parity": 1, "char_degree": 8, "char_conductor": 77, "char_orbit_label": "q", "char_is_real": false, "Nk2": 2156, "analytic_conductor": 4.303936668947013, "level_radical": 77, 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-680], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0], [1, 1, 11, 3, 1, 5, 0], [1, 1, 77, 13, 1, 15, 0]], "char_orbit_index": 17, "prim_orbit_index": 13, "minimal_twist": "77.2.f.b", "char_is_minimal": false, "conrey_index": 214, "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}