# Stored data for newform 441.4.p.d, downloaded from the LMFDB on 25 April 2024. {"label": "441.4.p.d", "space_label": "441.4.p", "level": 441, "weight": 4, "hecke_orbit": 4, "hecke_orbit_code": 13511829741371833, "dim": 48, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [5473632256, 0, -16825737216, 0, 42514440960, 0, -24897057888, 0, 10112445249, 0, -2004524136, 0, 276807698, 0, -26083200, 0, 1836003, 0, -90912, 0, 3282, 0, -72, 0, 1]]], "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 21, "char_orbit_label": "p", "char_is_real": false, "Nk2": 7056, "analytic_conductor": 26.019842312531612, "level_radical": 21, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [441, 6, [344, 199], [3, 1]], "inner_twist_count": 8, "level_primes": [3, 7], "conrey_indexes": [80, 215], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], 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0], [1, 1, 7, 3, 1, 3, 0], [1, 1, 7, 4, -1, 6, 0], [1, 1, 21, 3, 1, 2, 0], [1, 1, 21, 7, 1, 6, 0], [1, 1, 21, 8, -1, 6, 0]], "char_orbit_index": 16, "prim_orbit_index": 7, "minimal_twist": "441.4.c.b", "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, 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