Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136bk |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-690765594624 = -1 · 215 · 311 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 3 -3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5403,-158006] |
[a1,a2,a3,a4,a6] |
j |
-5841725401/231336 |
j-invariant |
L |
1.1111273610866 |
L(r)(E,1)/r! |
Ω |
0.27778184027164 |
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 |
2142o1 68544eh1 5712ba1 119952ga1 |
Quadratic twists by: -4 8 -3 -7 |