# Stored data for newform 12138.2.a.cl, downloaded from the LMFDB on 23 September 2025. {"Nk2": 48552, "analytic_conductor": 96.92241797343013, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [7, -1], [17, 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": [12138, 1, [8093, 10405, 9829], [64, 64, 64]], "cm_discs": [], "conrey_index": 1, "dim": 6, "field_disc": 6, "field_disc_factorization": [[2, 1], [3, 1]], "field_poly": [-3, -18, 12, 16, -6, -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": 64, "hecke_orbit_code": 283726776557907818, "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": "12138.2.a.cl", "level": 12138, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 7, 17], "level_radical": 714, "nf_label": "6.6.7328637.1", "prim_orbit_index": 1, "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "12138.2.a", "trace_display": [-6, 6, -3, 6], "traces": [6, -6, 6, 6, -3, -6, 6, -6, 6, 3, -9, 6, -3, -6, -3, 6, 0, -6, 0, -3, 6, 9, -18, -6, -9, 3, 6, 6, 0, 3, 15, -6, -9, 0, -3, 6, -9, 0, -3, 3, 0, -6, 0, -9, -3, 18, 0, 6, 6, 9, 0, -3, 18, -6, 0, -6, 0, 0, -18, -3, 6, -15, 6, 6, -24, 9, 24, 0, -18, 3, -15, -6, 9, 9, -9, 0, -9, 3, -21, -3, 6, 0, 0, 6, 0, 0, 0, 9, -24, 3, -3, -18, 15, 0, 18, -6, 18, -6, -9, -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, "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, "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}