# Stored data for newform 56.10.a.a, downloaded from the LMFDB on 05 September 2026.
{"Nk2": 5600, "analytic_conductor": 28.842006825176895, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [7, 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": [56, 1, [15, 29, 17], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 16638988, "field_disc_factorization": [[2, 2], [17, 1], [244691, 1]], "field_poly": [-4578, -823, 0, 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, [-379584, -51228, 92, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 167772216, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 192, "hecke_ring_index_factorization": [[2, 6], [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": true, "is_maximal": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "56.10.a.a", "level": 56, "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], "level_radical": 14, "minimal_twist": "56.10.a.a", "prim_orbit_index": 1, "qexp_display": "q+(-31-\\beta _{1})q^{3}+(92+\\beta _{1}-\\beta _{2})q^{5}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "56.10.a", "trace_display": [0, -92, 274, -7203], "trace_hash": 1363616581537361504, "trace_moments": [{"__RealLiteral__": 0, "data": "0.002", "prec": 4}, {"__RealLiteral__": 0, "data": "2.906", "prec": 14}, 0, {"__RealLiteral__": 0, "data": "22.522", "prec": 17}, 0, 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