Atkin-Lehner |
2- 3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8778s |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
41276868496661952 = 26 · 316 · 73 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5114055134,140765072205828] |
[a1,a2,a3,a4,a6] |
j |
14791762650943931754653609276864737/41276868496661952 |
j-invariant |
L |
2.7563801116507 |
L(r)(E,1)/r! |
Ω |
0.11484917131878 |
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 |
70224bw4 26334l4 61446cj4 96558bl4 |
Quadratic twists by: -4 -3 -7 -11 |