Atkin-Lehner |
2- 3- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
8322j |
Isogeny class |
Conductor |
8322 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
225011717316 = 22 · 34 · 194 · 732 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2277,-35235] |
[a1,a2,a3,a4,a6] |
j |
1305643841541073/225011717316 |
j-invariant |
L |
5.5940803821829 |
L(r)(E,1)/r! |
Ω |
0.69926004777286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
66576v2 24966f2 |
Quadratic twists by: -4 -3 |