Atkin-Lehner |
2- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39688l |
Isogeny class |
Conductor |
39688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
840960 |
Modular degree for the optimal curve |
Δ |
-1014709777554176 = -1 · 28 · 119 · 412 |
Discriminant |
Eigenvalues |
2- 3 1 -4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2227852,1279905572] |
[a1,a2,a3,a4,a6] |
j |
-2696414447748096/2237411 |
j-invariant |
L |
3.2899507725038 |
L(r)(E,1)/r! |
Ω |
0.41124384655932 |
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 |
79376l1 3608d1 |
Quadratic twists by: -4 -11 |