Atkin-Lehner |
2- 3- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
8322j |
Isogeny class |
Conductor |
8322 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-22316401835874 = -1 · 2 · 32 · 198 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4293,-199485] |
[a1,a2,a3,a4,a6] |
j |
8749838857092047/22316401835874 |
j-invariant |
L |
5.5940803821829 |
L(r)(E,1)/r! |
Ω |
0.34963002388643 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66576v3 24966f3 |
Quadratic twists by: -4 -3 |