Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240er |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
67655231078400 = 218 · 36 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13665,-475137] |
[a1,a2,a3,a4,a6] |
j |
1076575468249/258084225 |
j-invariant |
L |
5.3910168879974 |
L(r)(E,1)/r! |
Ω |
0.44925150490644 |
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 |
114240gx2 1785b2 |
Quadratic twists by: -4 8 |