Properties

Label 5.5.24217.1-85.1-a
Base field 5.5.24217.1
Weight [2,2,2,2,2][2, 2, 2, 2, 2]
Level norm 8585
Level [85,85,3w4w314w2+3w+5][85, 85, 3 w^4 - w^3 - 14 w^2 + 3 w + 5]
Dimension 11
CM no
Base change no

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Base field 5.5.24217.1

Generator ww, with minimal polynomial x55x3x2+3x+1x^5 - 5 x^3 - x^2 + 3 x + 1; narrow class number 11 and class number 11.

Form

Weight: [2,2,2,2,2][2, 2, 2, 2, 2]
Level: [85,85,3w4w314w2+3w+5][85, 85, 3 w^4 - w^3 - 14 w^2 + 3 w + 5]
Dimension: 11
CM: no
Base change: no
Newspace dimension: 55

Hecke eigenvalues (qq-expansion)

The Hecke eigenvalue field is Q\Q.
Norm Prime Eigenvalue
5 [5,5,2w4+w3+9w22w3][5, 5, -2 w^4 + w^3 + 9 w^2 - 2 w - 3] 1\phantom{-}1
17 [17,17,2w4+w3+9w23w5][17, 17, -2 w^4 + w^3 + 9 w^2 - 3 w - 5] 2-2
17 [17,17,w22][17, 17, w^2 - 2] 1-1
23 [23,23,w33w][23, 23, w^3 - 3 w] 5\phantom{-}5
29 [29,29,2w4w310w2+2w+4][29, 29, 2 w^4 - w^3 - 10 w^2 + 2 w + 4] 1\phantom{-}1
32 [32,2,2][32, 2, 2] 5-5
37 [37,37,w4+w3+4w22w][37, 37, -w^4 + w^3 + 4 w^2 - 2 w] 5\phantom{-}5
41 [41,41,3w4+2w3+14w25w7][41, 41, -3 w^4 + 2 w^3 + 14 w^2 - 5 w - 7] 5-5
43 [43,43,3w4+w3+14w23w6][43, 43, -3 w^4 + w^3 + 14 w^2 - 3 w - 6] 0\phantom{-}0
47 [47,47,3w4+2w3+14w27w6][47, 47, -3 w^4 + 2 w^3 + 14 w^2 - 7 w - 6] 11-11
53 [53,53,2w4w38w2+2w+1][53, 53, 2 w^4 - w^3 - 8 w^2 + 2 w + 1] 5\phantom{-}5
53 [53,53,2w4+w3+10w24w6][53, 53, -2 w^4 + w^3 + 10 w^2 - 4 w - 6] 9\phantom{-}9
59 [59,59,w4+4w2+1][59, 59, -w^4 + 4 w^2 + 1] 13-13
59 [59,59,3w4+2w3+14w26w8][59, 59, -3 w^4 + 2 w^3 + 14 w^2 - 6 w - 8] 7\phantom{-}7
61 [61,61,4w42w318w2+5w+7][61, 61, 4 w^4 - 2 w^3 - 18 w^2 + 5 w + 7] 11\phantom{-}11
61 [61,61,3w4w315w2+2w+7][61, 61, 3 w^4 - w^3 - 15 w^2 + 2 w + 7] 6\phantom{-}6
73 [73,73,4w4+2w3+18w27w6][73, 73, -4 w^4 + 2 w^3 + 18 w^2 - 7 w - 6] 6-6
83 [83,83,2w4+9w2+2w4][83, 83, -2 w^4 + 9 w^2 + 2 w - 4] 12\phantom{-}12
83 [83,83,2w4+2w3+10w27w6][83, 83, -2 w^4 + 2 w^3 + 10 w^2 - 7 w - 6] 3\phantom{-}3
97 [97,97,2w4+w3+8w23w+1][97, 97, -2 w^4 + w^3 + 8 w^2 - 3 w + 1] 9-9
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
55 [5,5,2w4+w3+9w22w3][5, 5, -2 w^4 + w^3 + 9 w^2 - 2 w - 3] 1-1
1717 [17,17,w22][17, 17, w^2 - 2] 11