# Stored data for newform 380.2.n.a, downloaded from the LMFDB on 25 April 2024. {"label": "380.2.n.a", "space_label": "380.2.n", "level": 380, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 893386752380, "dim": 40, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [9834496, 0, 89062400, 0, 500950528, 0, 1701741760, 0, 4148852832, 0, 7410414636, 0, 10186042973, 0, 10762202703, 0, 8892116523, 0, 5654962054, 0, 2792444019, 0, 1047905415, 0, 306343209, 0, 69587636, 0, 12475873, 0, 1746767, 0, 191688, 0, 15975, 0, 992, 0, 41, 0, 1]]], "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 76, "char_orbit_label": "n", "char_is_real": false, "Nk2": 1520, "analytic_conductor": 3.0343152768086545, "level_radical": 190, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [380, 6, [191, 77, 21], [3, 6, 5]], "inner_twist_count": 4, "level_primes": [2, 5, 19], 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0, 138, -240, 102, 0, -217, -138, 264, 0, -31, -288, 298, 0, 123, -108, -99, 0, 198, 0, 17, 0, 642, 126, 144, 0, -138, -216, 0, 0, 147, -504, 0, 0, 207, 84, 101, 0, 0, 332, 38, 0, 87, 236, 240, 0, 230, 0, -173, 0, -154, 0, -15, 0, 3, -30, -221, 0, -104, -264, -219, 0, -150, -274, 343, 0, 0, -10, 258, 0, 0], "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, 4, 2, -1, 2, 0], [1, 1, 19, 4, -1, 6, 0], [1, 1, 76, 6, 1, 6, 0]], "char_orbit_index": 14, "prim_orbit_index": 6, "minimal_twist": "380.2.n.a", "char_is_minimal": true, "conrey_index": 31, "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}