Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5070w |
Isogeny class |
Conductor |
5070 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
31762596522009600 = 210 · 32 · 52 · 1310 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-914040,336168000] |
[a1,a2,a3,a4,a6] |
j |
17496824387403529/6580454400 |
j-invariant |
L |
3.635370992501 |
L(r)(E,1)/r! |
Ω |
0.3635370992501 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40560bu2 15210o2 25350g2 390g2 |
Quadratic twists by: -4 -3 5 13 |