# Stored data for newform 22743.2.a.bw, downloaded from the LMFDB on 01 January 2026.
{"Nk2": 90972, "analytic_conductor": 181.60376931699798, "atkin_lehner_eigenvals": [[3, -1], [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": [22743, 1, [10109, 6499, 9388], [49, 49, 49]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 4, "field_disc_factorization": [[2, 2]], "field_poly": [1, -1, -4, 0, 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": 49, "hecke_orbit_code": 216172782147360983, "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": "22743.2.a.bw", "level": 22743, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [3, 7, 19], "level_radical": 399, "nf_label": "4.4.1957.1", "prim_orbit_index": 1, "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "22743.2.a", "trace_display": [1, 0, 2, -4], "traces": [4, 1, 0, 3, 2, 0, -4, -3, 0, -6, 8, 0, 2, -1, 0, 5, -1, 0, 0, 15, 0, -4, -1, 0, 8, -5, 0, -3, 3, 0, 11, 10, 0, 24, -2, 0, 17, 0, 0, -8, -17, 0, -15, 19, 0, 24, 3, 0, 4, -21, 0, 27, 1, 0, -3, 3, 0, 5, 32, 0, -11, 13, 0, -31, 28, 0, 4, -17, 0, 6, -5, 0, 24, -3, 0, 0, -8, 0, 9, -11, 0, 0, 5, 0, -27, 39, 0, -1, -14, 0, -2, -17, 0, -23, 0, 0, 3, 1, 0, -15], "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}