Atkin-Lehner |
3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
111843g |
Isogeny class |
Conductor |
111843 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5640192 |
Modular degree for the optimal curve |
Δ |
-4.9311340030192E+20 |
Discriminant |
Eigenvalues |
-1 3- -1 3 3 7 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4742978,-4115665830] |
[a1,a2,a3,a4,a6] |
j |
-670588189536889/28023717609 |
j-invariant |
L |
1.632847005403 |
L(r)(E,1)/r! |
Ω |
0.051026473719287 |
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 |
37281a1 6579c1 |
Quadratic twists by: -3 17 |