Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3536f |
Isogeny class |
Conductor |
3536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2570554548224 = -1 · 213 · 13 · 176 |
Discriminant |
Eigenvalues |
2- 0 2 -4 2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,581,-76950] |
[a1,a2,a3,a4,a6] |
j |
5295319407/627576794 |
j-invariant |
L |
1.5379901386322 |
L(r)(E,1)/r! |
Ω |
0.38449753465806 |
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 |
442a2 14144r2 31824bg2 88400bp2 |
Quadratic twists by: -4 8 -3 5 |