Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6960bk |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-12917760000000000 = -1 · 219 · 3 · 510 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2560,-5467212] |
[a1,a2,a3,a4,a6] |
j |
452807907839/3153750000000 |
j-invariant |
L |
3.6904209485656 |
L(r)(E,1)/r! |
Ω |
0.18452104742828 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
870f2 27840cr2 20880ce2 34800bv2 |
Quadratic twists by: -4 8 -3 5 |