# Stored data for newform 520.2.cs.a, downloaded from the LMFDB on 02 May 2024. {"label": "520.2.cs.a", "space_label": "520.2.cs", "level": 520, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 4810396926472, "dim": 320, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 12, "char_parity": 1, "char_degree": 4, "char_conductor": 520, "char_orbit_label": "cs", "char_is_real": false, "Nk2": 2080, "analytic_conductor": 4.15222090510658, "level_radical": 130, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [520, 12, [391, 261, 417, 41], [6, 6, 9, 2]], "inner_twist_count": 8, "level_primes": [2, 5, 13], "conrey_indexes": [43, 147, 283, 387], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 80, "sato_tate_group": "1.2.3.c12", "trace_display": [-6, -4, 0, 0], "traces": [320, -6, -4, 0, 0, -12, 0, 0, 0, -10, -24, -36, 0, 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-100], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 0], [1, 1, 8, 4, -1, 2, 0], [1, 1, 13, 5, 1, 6, 0], [1, 1, 40, 11, 1, 4, 0], [1, 1, 65, 18, -1, 12, 0], [1, 1, 104, 16, -1, 6, 0], [1, 1, 520, 71, 1, 12, 0]], "char_orbit_index": 71, "prim_orbit_index": 71, "minimal_twist": "520.2.cs.a", "char_is_minimal": true, "conrey_index": 43, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "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}