Atkin-Lehner |
2- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8680o |
Isogeny class |
Conductor |
8680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-476358400 = -1 · 28 · 52 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,193,194] |
[a1,a2,a3,a4,a6] |
j |
3105672624/1860775 |
j-invariant |
L |
2.0336810099363 |
L(r)(E,1)/r! |
Ω |
1.0168405049681 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17360m1 69440m1 78120e1 43400a1 |
Quadratic twists by: -4 8 -3 5 |