Atkin-Lehner |
2- 3+ 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
73950cn |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
4460328914062500 = 22 · 34 · 59 · 172 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50763,-3030219] |
[a1,a2,a3,a4,a6] |
j |
7406892616157/2283688404 |
j-invariant |
L |
3.9085993077652 |
L(r)(E,1)/r! |
Ω |
0.32571661049056 |
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 |
73950bu1 |
Quadratic twists by: 5 |