Atkin-Lehner |
2- 3- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
8322j |
Isogeny class |
Conductor |
8322 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
184531770018 = 2 · 32 · 192 · 734 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34767,-2497977] |
[a1,a2,a3,a4,a6] |
j |
4647572203684294513/184531770018 |
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 |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66576v4 24966f4 |
Quadratic twists by: -4 -3 |