# Stored data for newform 819.2.gh.d, downloaded from the LMFDB on 23 April 2024. {"label": "819.2.gh.d", "space_label": "819.2.gh", "level": 819, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13522000190374707, "dim": 40, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [59049, 669222, 3431403, 12767706, 42396534, 110052756, 213666417, 335221200, 413244909, 363610728, 215000559, -67425876, -278200827, -254348400, -110683869, 68119278, 128623885, 63337166, 14109926, -19606728, -21200612, -5615076, -1927139, 2023862, 2830564, 355194, 56586, -109820, -141264, -8230, -1657, 2828, 5191, 208, 0, -34, -84, 0, 0, 0, 1]]], "char_order": 12, "char_parity": 1, "char_degree": 4, "char_conductor": 91, "char_orbit_label": "gh", "char_is_real": false, "Nk2": 3276, "analytic_conductor": 6.539747925542864, "level_radical": 273, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [819, 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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}