# Stored data for newform 7440.2.a.be, downloaded from the LMFDB on 16 May 2026.
{"Nk2": 29760, "analytic_conductor": 59.4086991038326, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, 1], [5, 1], [31, 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": [7440, 1, [6511, 1861, 4961, 2977, 5521], [1, 1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 8, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[7, [2, -4, 1]], [11, [-8, 0, 1]], [13, [14, 8, 1]], [17, [4, 1]], [19, [-8, 0, 1]]], "hecke_orbit": 31, "hecke_orbit_code": 135107988854676752, "hecke_ring_generator_nbound": 7, "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": "7440.2.a.be", "level": 7440, "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, 3, 5, 31], "level_radical": 930, "minimal_twist": "465.2.a.c", "nf_label": "2.2.8.1", "prim_orbit_index": 1, "qexp_display": "q-q^{3}-q^{5}+(2+\\beta )q^{7}+q^{9}-2\\beta q^{11}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "7440.2.a", "trace_display": [0, -2, -2, 4], "trace_hash": 1661059357186878677, "trace_moments": [{"__RealLiteral__": 0, "data": "0.053", "prec": 17}, 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