Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2640v |
Isogeny class |
Conductor |
2640 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1272514519568793600 = -1 · 214 · 324 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83280,55028628] |
[a1,a2,a3,a4,a6] |
j |
-15595206456730321/310672490129100 |
j-invariant |
L |
2.7473653131347 |
L(r)(E,1)/r! |
Ω |
0.22894710942789 |
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 |
330c6 10560bo6 7920bc6 13200bi6 |
Quadratic twists by: -4 8 -3 5 |