Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400fk |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
11059200 |
Modular degree for the optimal curve |
Δ |
-1.3411301090918E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33605925,-159442757750] |
[a1,a2,a3,a4,a6] |
j |
89962967236397039/287450726400000 |
j-invariant |
L |
1.1567439323492 |
L(r)(E,1)/r! |
Ω |
0.036148248025142 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8550y1 22800dh1 13680be1 |
Quadratic twists by: -4 -3 5 |