# Stored data for newform 1216.4.a.y, downloaded from the LMFDB on 14 July 2025.
{"Nk2": 19456, "analytic_conductor": 71.74632256698058, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [19, -1]], "atkin_lehner_string": "+-", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [1216, 1, [191, 837, 705], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 846464628, "field_disc_factorization": [[2, 2], [3, 1], [70538719, 1]], "field_poly": [-12, 73, -8, -28, -2, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[3, [1824, 496, -228, -47, 6, 1]], [5, [80160, 10428, -1825, -257, 5, 1]]], "hecke_orbit": 25, "hecke_orbit_code": 108086391124001984, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 16, "hecke_ring_index_factorization": [[2, 4]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "1216.4.a.y", "level": 1216, "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, 19], "level_radical": 38, "minimal_twist": "608.4.a.e", "prim_orbit_index": 1, "qexp_display": "q+(-1-\\beta _{2})q^{3}+(-1+\\beta _{2}-\\beta _{3})q^{5}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1216.4.a", "trace_display": [0, -6, -5, -7], "trace_hash": 1672964539927143620, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": 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