# Stored data for newform 640.2.x.a, downloaded from the LMFDB on 04 June 2024. {"Nk2": 2560, "analytic_conductor": 5.110425729361944, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 32, "char_degree": 4, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 24, "char_orbit_label": "x", "char_order": 8, "char_parity": 1, "char_values": [640, 8, [511, 261, 257], [8, 3, 8]], "cm_discs": [], "conrey_index": 81, "dim": 64, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 1580581520000, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 32, 7, 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": false, "label": "640.2.x.a", "level": 640, "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, 5], "level_radical": 10, "minimal_twist": "160.2.x.a", "prim_orbit_index": 7, "related_objects": [], "relative_dim": 16, "rm_discs": [], "sato_tate_group": "1.2.3.c8", "self_twist_discs": [], "self_twist_type": 0, "space_label": "640.2.x", "trace_display": [0, 0, 0, 0], "traces": [64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -16, 0, -32, 0, 0, 0, 0, 0, -32, 0, -32, 0, -80, 0, 0, 0, -80, 0, -32, 0, -32, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 64, 0, 0, 0, 64, 0, 0, 0, 96, 0, 0, 0, -16, 0, 32, 0, 0, 0, 0, 0, 16, 0, 96, 0, -80, 0, -64, 0, 0, 0, 0, 0, -80, 0, 0, 0, -80, 0, 0, 0, 0, 0, -64, 0, -80, 0, 96, 0, 0, 0, 0, 0, -80, 0, 32, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 64, 0, -96, 0, 0, 0, 0, 0, -160, 0, 0, 0, -176, 0, 0, 0, -128, 0, -160, 0, 0, 0, 0, 0, 0, 0, -160, 0, -96, 0, 0, 0, -96, 0, 0, 0, 0, 0, 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"artin_field": null, "artin_field_label": null, "artin_image": 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}