Atkin-Lehner |
2+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19550r |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1744143940321280000 = -1 · 230 · 54 · 173 · 232 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 0 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,289424,-21086402] |
[a1,a2,a3,a4,a6] |
Generators |
[26450457:860253379:35937] |
Generators of the group modulo torsion |
j |
4289922792433184375/2790630304514048 |
j-invariant |
L |
4.363648004996 |
L(r)(E,1)/r! |
Ω |
0.15145301525893 |
Real period |
R |
7.2029731424228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19550be2 |
Quadratic twists by: 5 |