Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45968k |
Isogeny class |
Conductor |
45968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
45709649543168 = 215 · 136 · 172 |
Discriminant |
Eigenvalues |
2- 2 0 -4 6 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-116328,-15229072] |
[a1,a2,a3,a4,a6] |
j |
8805624625/2312 |
j-invariant |
L |
2.06811654055 |
L(r)(E,1)/r! |
Ω |
0.25851456754453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5746e2 272d2 |
Quadratic twists by: -4 13 |