Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840cl |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-4.7381151051475E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,38921280,47267250228] |
[a1,a2,a3,a4,a6] |
j |
1591934139020114746758719/1156766383092650262660 |
j-invariant |
L |
3.1417844275253 |
L(r)(E,1)/r! |
Ω |
0.049090381680082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2730v8 87360eo7 65520de7 109200cz7 |
Quadratic twists by: -4 8 -3 5 |