Atkin-Lehner |
5- 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
116725p |
Isogeny class |
Conductor |
116725 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
5719680 |
Modular degree for the optimal curve |
Δ |
-914449006682421875 = -1 · 58 · 73 · 234 · 293 |
Discriminant |
Eigenvalues |
0 1 5- 7- -6 -4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-27632333,55898871994] |
[a1,a2,a3,a4,a6] |
j |
-5973327893477699092480/2340989457107 |
j-invariant |
L |
1.3619930961571 |
L(r)(E,1)/r! |
Ω |
0.22699885754847 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
116725d1 |
Quadratic twists by: 5 |