Atkin-Lehner |
2- 5- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
8690j |
Isogeny class |
Conductor |
8690 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
604128800 = 25 · 52 · 112 · 792 |
Discriminant |
Eigenvalues |
2- 2 5- 4 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-516265,-142991753] |
[a1,a2,a3,a4,a6] |
j |
15217447577334554745361/604128800 |
j-invariant |
L |
7.1242864134353 |
L(r)(E,1)/r! |
Ω |
0.17810716033588 |
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 |
69520be2 78210j2 43450f2 95590j2 |
Quadratic twists by: -4 -3 5 -11 |