Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960fd |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
5.661810855936E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4158732,-3056963056] |
[a1,a2,a3,a4,a6] |
j |
41623544884956481/2962701562500 |
j-invariant |
L |
1.6991189209027 |
L(r)(E,1)/r! |
Ω |
0.10619493253805 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48960cl6 12240bm5 16320bt5 |
Quadratic twists by: -4 8 -3 |