# Stored data for newform 5054.2.a.w, downloaded from the LMFDB on 11 July 2026.
{"Nk2": 20216, "analytic_conductor": 40.356393181555106, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [7, -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": [5054, 1, [1445, 1807], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 151572, "field_disc_factorization": [[2, 2], [3, 1], [17, 1], [743, 1]], "field_poly": [4, 8, -10, -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": [[3, [4, -8, -10, 1, 1]], [5, [36, 3, -17, -1, 1]], [13, [-98, -145, -25, 5, 1]]], "hecke_orbit": 23, "hecke_orbit_code": 99079191835710398, "hecke_ring_generator_nbound": 5, "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": "5054.2.a.w", "level": 5054, "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, 7, 19], "level_radical": 266, "minimal_twist": "266.2.f.d", "nf_label": "4.4.151572.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}-\\beta _{1}q^{3}+q^{4}+(\\beta _{1}+\\beta _{3})q^{5}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "5054.2.a", "trace_display": [-4, -1, 1, 4], "trace_hash": 1903959111023896286, "trace_moments": [{"__RealLiteral__": 0, "data": "0.062", "prec": 17}, 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