# Stored data for newform 768.2.o.a, downloaded from the LMFDB on 19 April 2024. {"label": "768.2.o.a", "space_label": "768.2.o", "level": 768, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 962106229504, "dim": 56, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [10863616, -94291968, 409208832, -1077963776, 1902780160, -2364102656, 2327438336, -2319517184, 2740008384, -2978290304, 2378206336, -1229510080, 399997328, -110905152, 73821568, -40223872, 11973664, -1291808, 811456, -469824, 137080, -4048, 4128, -2304, 636, 0, 8, -4, 1]]], "char_order": 8, "char_parity": 1, "char_degree": 4, "char_conductor": 96, "char_orbit_label": "o", "char_is_real": false, "Nk2": 3072, "analytic_conductor": 6.132510875234334, "level_radical": 6, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [768, 8, [511, 517, 257], [4, 3, 4]], "inner_twist_count": 4, "level_primes": [2, 3], 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0], [1, 1, 32, 8, -1, 8, 0], [1, 1, 96, 15, 1, 8, 0]], "char_orbit_index": 15, "prim_orbit_index": 15, "minimal_twist": "96.2.o.a", "char_is_minimal": false, "conrey_index": 95, "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}