Atkin-Lehner |
2- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
88400cd |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-181043200000000 = -1 · 221 · 58 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 2 5- -2 -3 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8208,-705088] |
[a1,a2,a3,a4,a6] |
j |
-38226865/113152 |
j-invariant |
L |
1.3917229057387 |
L(r)(E,1)/r! |
Ω |
0.23195379602772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11050o1 88400bb1 |
Quadratic twists by: -4 5 |