Atkin-Lehner |
2- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
40678m |
Isogeny class |
Conductor |
40678 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
231168 |
Modular degree for the optimal curve |
Δ |
5657088934358884 = 22 · 112 · 438 |
Discriminant |
Eigenvalues |
2- 1 1 3 11+ -5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-71225,-6364747] |
[a1,a2,a3,a4,a6] |
j |
3418801/484 |
j-invariant |
L |
4.7199147093345 |
L(r)(E,1)/r! |
Ω |
0.29499466933956 |
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 |
40678b1 |
Quadratic twists by: -43 |