Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44400cv |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.46337890625E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30231408,-585534112812] |
[a1,a2,a3,a4,a6] |
j |
-47744008200656797609/2286529541015625000 |
j-invariant |
L |
3.2507141363969 |
L(r)(E,1)/r! |
Ω |
0.025396204190474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5550bc4 8880l4 |
Quadratic twists by: -4 5 |