# Stored data for newform 17689.2.a.ci, downloaded from the LMFDB on 20 April 2026.
{"Nk2": 70756, "analytic_conductor": 141.24737613544286, "atkin_lehner_eigenvals": [[7, -1], [19, 1]], "atkin_lehner_string": "-+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [17689, 1, [3972, 6861], [61, 61]], "cm_discs": [], "conrey_index": 1, "dim": 15, "field_poly": [107, 183, -1035, -520, 2976, -90, -3113, 612, 1572, -420, -417, 126, 56, -18, -3, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": -1, "hecke_orbit": 61, "hecke_orbit_code": 270215977675801881, "inner_twist_count": -1, "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "label": "17689.2.a.ci", "level": 17689, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [7, 19], "level_radical": 133, "prim_orbit_index": 1, "related_objects": [], "relative_dim": 15, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "17689.2.a", "trace_display": [-3, 6, 0, 0], "traces": [15, -3, 6, 15, 0, 0, 0, -9, 21, 6, 0, 18, 18, 0, 12, -9, 9, -15, 0, 15, 0, -9, -6, -18, 21, -45, 27, 0, -9, -21, 12, -36, 57, 3, 0, 57, -18, 0, -12, 15, 42, 0, -12, 51, 27, -6, 3, 42, 0, 3, 6, 36, -33, 45, -6, 0, 0, -30, 18, 18, 6, -12, 0, -3, -45, -33, -24, 51, 15, 0, 6, 9, 3, -9, 72, 0, 0, -27, 60, -18, 27, -36, 12, 0, -27, -51, 24, -36, 72, -3, 0, -60, 60, 21, 0, -33, 39, 0, 54, 9], "weight": 2, "weight_parity": 1, "id": null, "analytic_rank": null, "analytic_rank_proved": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "field_disc": null, "field_disc_factorization": null, "hecke_cutters": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "inner_twists": null, "is_twist_minimal": null, "level_is_powerful": null, "level_is_prime_square": null, "minimal_twist": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}