Atkin-Lehner |
2- 3- 11- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39468i |
Isogeny class |
Conductor |
39468 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
66240 |
Modular degree for the optimal curve |
Δ |
-72143715072 = -1 · 28 · 3 · 11 · 135 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24597,-1493097] |
[a1,a2,a3,a4,a6] |
j |
-6429065145745408/281811387 |
j-invariant |
L |
5.1464786369334 |
L(r)(E,1)/r! |
Ω |
0.19061031988554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118404e1 |
Quadratic twists by: -3 |