# Stored data for newform 3887.2.a.p, downloaded from the LMFDB on 21 May 2024.
{"Nk2": 15548, "analytic_conductor": 31.037851265671684, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[13, 1], [23, -1]], "atkin_lehner_string": "+-", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [3887, 1, [3382, 2029], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 10, "field_disc": 6078783001207808, "field_disc_factorization": [[2, 10], [5936311524617, 1]], "field_poly": [-128, -192, 400, 252, -357, -109, 127, 18, -19, -1, 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": [[2, [-128, 192, 400, -252, -357, 109, 127, -18, -19, 1, 1]], [3, [112, -400, -56, 720, -181, -343, 107, 58, -19, -3, 1]]], "hecke_orbit": 16, "hecke_orbit_code": 67553994444115759, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "3887.2.a.p", "level": 3887, "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": [13, 23], "level_radical": 299, "minimal_twist": "299.2.a.g", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}-\\beta _{3}q^{3}+(2+\\beta _{2})q^{4}+(\\beta _{2}+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 10, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "3887.2.a", "trace_display": [-1, 3, -3, 2], "trace_hash": 506942975699284385, "trace_moments": [{"__RealLiteral__": 0, "data": 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