Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8568f |
Isogeny class |
Conductor |
8568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-16659323364096 = -1 · 28 · 313 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 1 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-856092,-304879948] |
[a1,a2,a3,a4,a6] |
j |
-371806976516936704/89266779 |
j-invariant |
L |
2.5112469448997 |
L(r)(E,1)/r! |
Ω |
0.078476467028117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17136f1 68544ci1 2856e1 59976k1 |
Quadratic twists by: -4 8 -3 -7 |