Atkin-Lehner |
2- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
43808o |
Isogeny class |
Conductor |
43808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
340992 |
Modular degree for the optimal curve |
Δ |
-14387115843260416 = -1 · 212 · 378 |
Discriminant |
Eigenvalues |
2- -2 -3 2 4 -2 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67537,8862399] |
[a1,a2,a3,a4,a6] |
j |
-2368 |
j-invariant |
L |
1.481999656256 |
L(r)(E,1)/r! |
Ω |
0.37049991407506 |
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 |
43808n1 87616bk1 43808d1 |
Quadratic twists by: -4 8 37 |