Atkin-Lehner |
2- 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880cr |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
13660133498880000 = 216 · 3 · 54 · 113 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-838040,294954900] |
[a1,a2,a3,a4,a6] |
j |
15891267085572193561/3334993530000 |
j-invariant |
L |
3.089304641323 |
L(r)(E,1)/r! |
Ω |
0.38616308018865 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610i1 |
Quadratic twists by: -4 |