# Stored data for newform 1445.4.a.r, downloaded from the LMFDB on 08 September 2026.
{"Nk2": 23120, "analytic_conductor": 85.25775995829518, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, 1], [17, 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": [1445, 1, [1157, 581], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 8, "field_disc": 240402241294423185408, "field_disc_factorization": [[2, 11], [3, 1], [193, 1], [953, 1], [15647, 1], [13595839, 1]], "field_poly": [4128, 576, -3404, -496, 767, 112, -48, -4, 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, [1632, 4400, 54, -2648, 537, 204, -48, -4, 1]], [3, [456236, -61932, -211785, -9698, 10999, 304, -187, -2, 1]]], "hecke_orbit": 18, "hecke_orbit_code": 76561193732408741, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 4, "hecke_ring_index_factorization": [[2, 2]], "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": true, "label": "1445.4.a.r", "level": 1445, "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, 17], "level_radical": 85, "minimal_twist": "1445.4.a.q", "prim_orbit_index": 1, "qexp_display": "q+(1-\\beta _{1})q^{2}-\\beta _{6}q^{3}+(6+\\beta _{2})q^{4}+\\cdots", "related_objects": [], "relative_dim": 8, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1445.4.a", "trace_display": [4, 2, -40, -32], "trace_hash": 1274378859333542293, 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