# Stored data for newform 405.2.r.a, downloaded from the LMFDB on 25 April 2024. {"label": "405.2.r.a", "space_label": "405.2.r", "level": 405, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1168264659349, "dim": 192, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [], "char_order": 36, "char_parity": 1, "char_degree": 12, "char_conductor": 135, "char_orbit_label": "r", "char_is_real": false, "Nk2": 1620, "analytic_conductor": 3.2339412818618554, "level_radical": 15, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [405, 36, [326, 82], [2, 27]], "inner_twist_count": 4, "level_primes": [3, 5], "conrey_indexes": [8, 17, 62, 98, 143, 152, 197, 233, 278, 287, 332, 368], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 16, "sato_tate_group": "1.2.3.c36", "trace_display": [12, 0, 12, -12], "traces": [192, 12, 0, 0, 12, 0, -12, 18, 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-12, -306, 0, 0, -486, 0, -138, 0, 0, 408], "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, 5, 3, -1, 4, 0], [1, 1, 27, 6, -1, 18, 0], [1, 1, 135, 17, 1, 36, 0]], "char_orbit_index": 18, "prim_orbit_index": 17, "minimal_twist": "135.2.q.a", "char_is_minimal": false, "conrey_index": 8, "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}