# Stored data for newform 5040.2.k.i, downloaded from the LMFDB on 15 June 2026.
{"Nk2": 20160, "analytic_conductor": 40.24460261872532, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 105, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 11, "char_orbit_label": "k", "char_order": 2, "char_parity": 1, "char_values": [5040, 2, [3151, 3781, 2801, 2017, 3601], [2, 2, 1, 1, 1]], "cm_discs": [], "conrey_index": 1889, "dim": 24, "has_non_self_twist": 1, "hecke_cutters": [[11, [123904, 0, 217632, 0, 103248, 0, 20176, 0, 1832, 0, 74, 0, 1]], [13, [512, 0, -6016, 0, 20160, 0, -21280, 0, 2680, 0, -94, 0, 1]], [23, [1312, -1736, 252, 272, -68, -2, 1]]], "hecke_orbit": 9, "hecke_orbit_code": 36029484247290800, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0], [1, 1, 15, 4, -1, 2, 0], [1, 1, 105, 7, 1, 2, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "5040.2.k.i", "level": 5040, "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, 7], "level_radical": 210, "minimal_twist": "2520.2.k.a", "prim_orbit_index": 7, "related_objects": [], "relative_dim": 24, "rm_discs": [], "sato_tate_group": "1.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "5040.2.k", "trace_display": [0, 0, 0, 0], "traces": [24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -40, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 36, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, -16, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, -16, 0, 0, 0, 0, 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