# Stored data for newform 416.3.be.a, downloaded from the LMFDB on 15 October 2025.
{"Nk2": 3744, "analytic_conductor": 11.33517899738835, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 416, "char_degree": 4, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 31, "char_orbit_label": "be", "char_order": 8, "char_parity": -1, "char_values": [416, 8, [287, 261, 353], [4, 7, 4]], "cm_discs": [], "conrey_index": 51, "dim": 440, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 2061634634144, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 2, 1, 2, 0], [1, 1, 32, 8, -1, 8, 0], [1, 1, 416, 31, -1, 8, 0]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "416.3.be.a", "level": 416, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 13], 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null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "field_poly_is_cyclotomic": null, "field_poly_is_real_cyclotomic": null, "field_poly_root_of_unity": null, "fricke_eigenval": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "is_polredabs": 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}