# Stored data for newform 471.2.e.b, downloaded from the LMFDB on 19 April 2024. {"label": "471.2.e.b", "space_label": "471.2.e", "level": 471, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503874538832343, "dim": 22, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [11, -31, -97, 183, 219, -270, -100, 112, 17, -18, -1, 1]]], "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 157, "char_orbit_label": "e", "char_is_real": false, "Nk2": 1884, "analytic_conductor": 3.760953935202306, "level_radical": 471, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [471, 3, [158, 319], [3, 1]], "inner_twist_count": 2, "level_primes": [3, 157], "conrey_indexes": [169, 301], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 11, "sato_tate_group": "1.2.3.c3", "trace_display": [2, 11, -4, 4], "traces": [22, 2, 11, 30, 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"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}