Atkin-Lehner |
2- 7+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61642o |
Isogeny class |
Conductor |
61642 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
214368 |
Modular degree for the optimal curve |
Δ |
-7426170529792 = -1 · 211 · 78 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 4 6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9997,-410621] |
[a1,a2,a3,a4,a6] |
j |
-19166869393/1288192 |
j-invariant |
L |
10.463412439641 |
L(r)(E,1)/r! |
Ω |
0.23780482820686 |
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 |
61642y1 |
Quadratic twists by: -7 |