Atkin-Lehner |
5- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
15725i |
Isogeny class |
Conductor |
15725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10880 |
Modular degree for the optimal curve |
Δ |
20884765625 = 59 · 172 · 37 |
Discriminant |
Eigenvalues |
-1 0 5- -4 0 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-805,5572] |
[a1,a2,a3,a4,a6] |
j |
29503629/10693 |
j-invariant |
L |
1.1100641782326 |
L(r)(E,1)/r! |
Ω |
1.1100641782326 |
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 |
15725h1 |
Quadratic twists by: 5 |