Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400gc |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-66484800000000 = -1 · 212 · 37 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 3 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55875,-5098750] |
[a1,a2,a3,a4,a6] |
j |
-16539745/57 |
j-invariant |
L |
1.2418397576137 |
L(r)(E,1)/r! |
Ω |
0.1552299684256 |
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 |
4275p1 22800cn1 68400er1 |
Quadratic twists by: -4 -3 5 |