Atkin-Lehner |
2- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
64220n |
Isogeny class |
Conductor |
64220 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
31451728784450000 = 24 · 55 · 136 · 194 |
Discriminant |
Eigenvalues |
2- 2 5- -2 0 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-155705,22107422] |
[a1,a2,a3,a4,a6] |
j |
5405726654464/407253125 |
j-invariant |
L |
3.6260237082503 |
L(r)(E,1)/r! |
Ω |
0.36260237152755 |
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 |
380b1 |
Quadratic twists by: 13 |