Atkin-Lehner |
2- 3- 7+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89838x |
Isogeny class |
Conductor |
89838 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
19212697093842 = 2 · 36 · 72 · 234 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21620,1210645] |
[a1,a2,a3,a4,a6] |
j |
1533007996997625/26354865698 |
j-invariant |
L |
5.4990510787914 |
L(r)(E,1)/r! |
Ω |
0.6873813810609 |
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 |
9982a2 |
Quadratic twists by: -3 |