# Stored data for newform 7595.2.a.u, downloaded from the LMFDB on 31 October 2024. {"Nk2": 30380, "analytic_conductor": 60.646380335162455, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, -1], [7, -1], [31, -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": [7595, 1, [6077, 5736, 4901], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 7, "field_disc": 14372806928, "field_disc_factorization": [[2, 4], [29, 1], [263, 1], [117779, 1]], "field_poly": [48, -10, -70, 18, 29, -9, -3, 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": [[2, [48, -10, -70, 18, 29, -9, -3, 1]], [3, [-38, -46, 80, 55, -24, -14, 2, 1]], [11, [2216, -2034, -1236, 412, 145, -33, -5, 1]]], "hecke_orbit": 21, "hecke_orbit_code": 90071992580971947, "hecke_ring_generator_nbound": 11, "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": "7595.2.a.u", "level": 7595, "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, 7, 31], "level_radical": 1085, "minimal_twist": "1085.2.a.p", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+(-1+\\beta _{1}-\\beta _{6})q^{3}+(2+\\beta _{2}+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 7, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": 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