Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520dh |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
2.275743658501E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45854787,-94953087934] |
[a1,a2,a3,a4,a6] |
j |
3571003510905229697089/762141946675200000 |
j-invariant |
L |
2.3557490700867 |
L(r)(E,1)/r! |
Ω |
0.058893726894671 |
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 |
8190v1 21840x1 |
Quadratic twists by: -4 -3 |