Atkin-Lehner |
2- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440dk |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-73199137177600 = -1 · 214 · 52 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ -4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15345,844625] |
[a1,a2,a3,a4,a6] |
j |
-24391176723664/4467720775 |
j-invariant |
L |
2.3598817620941 |
L(r)(E,1)/r! |
Ω |
0.58997044200216 |
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 |
69440bv2 17360a2 |
Quadratic twists by: -4 8 |