# Stored data for newform 513.2.h.c, downloaded from the LMFDB on 25 May 2024. {"Nk2": 2052, "analytic_conductor": 4.096325623691683, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 171, "char_degree": 2, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 8, "char_orbit_label": "h", "char_order": 3, "char_parity": 1, "char_values": [513, 3, [191, 325], [2, 1]], "cm_discs": [], "conrey_index": 235, "dim": 32, "has_non_self_twist": 1, "hecke_cutters": [[2, [-9, -63, 177, 1638, 2250, -1905, -4485, 531, 3270, 137, -1193, -96, 235, 17, -24, -1, 1]], [5, [35721, -142884, 3196179, 19394802, 170177274, 378561924, 965704140, 1245372462, 2408204988, 2655256374, 3674796309, 2816662995, 2764861119, 1546493157, 1316027925, 582107640, 441462336, 151502058, 108257049, 29715627, 20171787, 4327692, 2838685, 493953, 303199, 41633, 23851, 2690, 1345, 110, 49, 3, 1]]], "hecke_orbit": 3, "hecke_orbit_code": 9007680324633089, "inner_twist_count": 2, "inner_twists": [[1, 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"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}