Atkin-Lehner |
2- 5- 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
122960s |
Isogeny class |
Conductor |
122960 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
389760 |
Modular degree for the optimal curve |
Δ |
-1391476348160 = -1 · 28 · 5 · 295 · 53 |
Discriminant |
Eigenvalues |
2- 3 5- 5 -3 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2513,-29494] |
[a1,a2,a3,a4,a6] |
j |
6855848509104/5435454485 |
j-invariant |
L |
9.4971705389518 |
L(r)(E,1)/r! |
Ω |
0.47485851598872 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30740d1 |
Quadratic twists by: -4 |