# Stored data for newform 506.2.e.h, downloaded from the LMFDB on 18 May 2024. {"label": "506.2.e.h", "space_label": "506.2.e", "level": 506, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31525472303055354, "dim": 20, "is_polredabs": true, "trace_hash": 1639000695379930671, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [30976, -56320, 53568, 38592, 177312, 223056, 319824, 304840, 257913, 141089, 72002, 29084, 12763, 3720, 1659, 414, 207, 52, 16, 3, 1]], [5, [123187801, -5027847, 25019927, 9289347, 31423617, -16221744, 19098254, -3180576, 3377411, -51541, 538787, -30935, 73112, -4413, 7384, 72, 455, 54, 24, 1, 1]]], "qexp_display": "q+\\beta _{11}q^{2}+(\\beta _{4}+\\beta _{8})q^{3}+(-1-\\beta _{6}+\\cdots)q^{4}+\\cdots", "char_order": 5, "char_parity": 1, "char_degree": 4, "char_conductor": 11, "char_orbit_label": "e", "char_is_real": false, "Nk2": 2024, "analytic_conductor": 4.040430342276787, "hecke_ring_index": 1, "level_radical": 506, 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1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, -4, 2, 4, -2, 0, -3, 0, -1, 1, -4, 0, 0, 0, -3, 2, 0, 1, -3], [1, -1, 0, -2, -1, -1, -2, 1, 0, 3, -1, -2, 1, -1, 1, 0, 0, 0, -1, 1], [6, 2, -3, 7, 3, 0, 0, -1, 0, -3, 0, 1, 2, 2, -2, -1, 1, 0, 1, -3], [3, -1, 0, -1, -1, 1, 1, 1, 0, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]]}