Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694cd |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
845520319415895552 = 29 · 32 · 113 · 1310 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 11+ 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5095945,-4429673929] |
[a1,a2,a3,a4,a6] |
j |
2278031600817539/131609088 |
j-invariant |
L |
3.6174057111347 |
L(r)(E,1)/r! |
Ω |
0.10048352843219 |
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 |
122694n2 9438c2 |
Quadratic twists by: -11 13 |