# Stored data for newform 1805.2.a.l, downloaded from the LMFDB on 18 June 2025. {"Nk2": 7220, "analytic_conductor": 14.41299756484111, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, 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": [1805, 1, [362, 1446], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 2000, "field_disc_factorization": [[2, 4], [5, 3]], "field_poly": [5, 0, -5, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 20, "fricke_eigenval": 1, "has_non_self_twist": 1, "hecke_cutters": [[2, [5, 0, -5, 0, 1]], [3, [5, 0, -5, 0, 1]]], "hecke_orbit": 12, "hecke_orbit_code": 49539595934631693, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 2, -1, 2, 0]], "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": true, "label": "1805.2.a.l", "level": 1805, "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, 19], "level_radical": 95, "minimal_twist": "1805.2.a.l", "nf_label": "4.4.2000.1", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+\\beta _{1}q^{3}+(1+\\beta _{2})q^{4}-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": "1805.2.a", "trace_display": [0, 0, -4, -8], "trace_hash": 801064477104425623, "trace_moments": [{"__RealLiteral__": 0, "data": 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