# Stored data for newform 5225.2.a.j, downloaded from the LMFDB on 09 September 2024.
{"Nk2": 20900, "analytic_conductor": 41.721835056119, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, 1], [11, 1], [19, -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": [5225, 1, [2927, 2851, 4676], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 14641, "field_disc_factorization": [[11, 4]], "field_poly": [-1, 3, 3, -4, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 22, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[2, [-1, -10, 15, -3, -3, 1]], [7, [253, -231, 22, 33, -11, 1]]], "hecke_orbit": 10, "hecke_orbit_code": 40532396679894121, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "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": "5225.2.a.j", "level": 5225, "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": [5, 11, 19], "level_radical": 1045, "minimal_twist": "1045.2.a.d", "nf_label": "5.5.14641.1", "prim_orbit_index": 1, "qexp_display": "q+(\\beta _{1}+\\beta _{3}-\\beta _{4})q^{2}+(2-\\beta _{1}+\\beta _{2}+\\cdots)q^{3}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "5225.2.a", "trace_display": [3, 7, 0, 11], "trace_hash": 28488614616157186, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, 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