Atkin-Lehner |
5- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15725h |
Isogeny class |
Conductor |
15725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2176 |
Modular degree for the optimal curve |
Δ |
1336625 = 53 · 172 · 37 |
Discriminant |
Eigenvalues |
1 0 5- 4 0 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32,51] |
[a1,a2,a3,a4,a6] |
j |
29503629/10693 |
j-invariant |
L |
2.4821789619156 |
L(r)(E,1)/r! |
Ω |
2.4821789619156 |
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 |
15725i1 |
Quadratic twists by: 5 |