# Stored data for newform 4010.2.a.n, downloaded from the LMFDB on 25 April 2024.
{"label": "4010.2.a.n", "space_label": "4010.2.a", "level": 4010, "weight": 2, "hecke_orbit": 14, "hecke_orbit_code": 58546795189374890, "dim": 22, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-26624, -210176, 603392, 1201536, -2668912, -2353024, 4579440, 2388352, -3997321, -1408947, 2020257, 503666, -632413, -111103, 126134, 15086, -15993, -1222, 1244, 54, -54, -1, 1]], [7, [524288, 1655296, -12192256, -3516256, 73944496, -69835316, -75677372, 130043272, -10404261, -60074642, 18960348, 12765315, -5801960, -1459031, 868111, 92352, -73467, -3033, 3574, 40, -93, 0, 1]], [11, [155582464, 688652288, -488921088, -3925770688, 1262361904, 6898483124, -4395023429, -2733293086, 2676102988, 197364528, -648261859, 75005318, 74963921, -16645672, -4336342, 1432670, 105934, -62480, 557, 1370, -75, -12, 1]]], "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16040, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 32.02001121053343, "level_radical": 4010, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [4010, 1, [2407, 3211], [1, 1]], "inner_twist_count": 1, "level_primes": [2, 5, 401], "conrey_indexes": [1], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 22, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, -1], [401, -1]], "trace_display": [22, 1, 22, 0], "traces": [22, 22, 1, 22, 22, 1, 0, 22, 43, 22, 12, 1, 10, 0, 1, 22, 24, 43, 13, 22, 13, 12, 7, 1, 22, 10, -5, 0, 22, 1, 14, 22, 31, 24, 0, 43, 35, 13, 4, 22, 29, 13, 7, 12, 43, 7, -21, 1, 32, 22, -6, 10, 29, -5, 12, 0, -13, 22, 12, 1, 24, 14, -8, 22, 10, 31, 25, 24, 3, 0, 31, 43, 30, 35, 1, 13, 10, 4, 35, 22, 74, 29, -33, 13, 24, 7, -24, 12, 38, 43, -32, 7, 3, -21, 13, 1, 11, 32, -41, 22, 34, -6, -28, 10, 13, 29, -17, -5, 26, 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