Atkin-Lehner |
2- 3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8778x |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
1250 |
Product of Tamagawa factors cp |
deg |
156000 |
Modular degree for the optimal curve |
Δ |
-113908758960116736 = -1 · 210 · 35 · 75 · 11 · 195 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -6 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-261680,-54043392] |
[a1,a2,a3,a4,a6] |
j |
-1981688591655059454721/113908758960116736 |
j-invariant |
L |
5.2595768857862 |
L(r)(E,1)/r! |
Ω |
0.10519153771572 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
70224bb1 26334u1 61446cd1 96558x1 |
Quadratic twists by: -4 -3 -7 -11 |