# Stored data for newform 138.4.d.a, downloaded from the LMFDB on 24 April 2024. {"label": "138.4.d.a", "space_label": "138.4.d", "level": 138, "weight": 4, "hecke_orbit": 1, "hecke_orbit_code": 206225539210, "dim": 24, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 69, "char_orbit_label": "d", "char_is_real": true, "Nk2": 2208, "analytic_conductor": 8.142263580792205, "level_radical": 138, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [138, 2, [47, 97], [1, 1]], "inner_twist_count": 4, "level_primes": [2, 3, 23], "conrey_indexes": [137], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 24, "sato_tate_group": "3.2.3.c2", "trace_display": [0, 8, 0, 0], "traces": [24, 0, 8, -96, 0, 8, 0, 0, 36, 0, 0, -32, 96, 0, 0, 384, 0, 128, 0, 0, 0, 0, 0, -32, 144, 0, 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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}