# Stored data for newform 2070.4.a.bg, downloaded from the LMFDB on 20 July 2025.
{"Nk2": 33120, "analytic_conductor": 122.13395371188307, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, 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": [2070, 1, [461, 1657, 1891], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 18982541, "field_disc_factorization": [[547, 1], [34703, 1]], "field_poly": [108, -45, -60, -2, 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": [[7, [-9114, 4865, -592, -8, 1]], [11, [-164232, 43134, -2605, 21, 1]], [17, [7970400, -264771, -8532, 56, 1]]], "hecke_orbit": 33, "hecke_orbit_code": 144115188142966806, "hecke_ring_generator_nbound": 13, "hecke_ring_index": 3, "hecke_ring_index_factorization": [[3, 1]], "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": "2070.4.a.bg", "level": 2070, "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, 23], "level_radical": 690, "minimal_twist": "230.4.a.j", "prim_orbit_index": 1, "qexp_display": "q-2q^{2}+4q^{4}-5q^{5}+(1+\\beta _{1}+2\\beta _{2}+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2070.4.a", "trace_display": [-8, 0, -20, 8], "trace_hash": 1056510092969301787, "trace_moments": [{"__RealLiteral__": 0, "data": 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