Atkin-Lehner |
2- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
85952m |
Isogeny class |
Conductor |
85952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
-6828002392861048832 = -1 · 244 · 173 · 79 |
Discriminant |
Eigenvalues |
2- 0 0 0 -2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,342740,99200976] |
[a1,a2,a3,a4,a6] |
j |
16985493417441375/26046762057728 |
j-invariant |
L |
0.64372334173779 |
L(r)(E,1)/r! |
Ω |
0.1609308289635 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85952d1 21488c1 |
Quadratic twists by: -4 8 |