Atkin-Lehner |
2- 7+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72842m |
Isogeny class |
Conductor |
72842 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
1.8186109019533E+22 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 11- 6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7691751,5033811071] |
[a1,a2,a3,a4,a6] |
j |
28408166077403283417/10265584430642464 |
j-invariant |
L |
2.2463867952519 |
L(r)(E,1)/r! |
Ω |
0.11231933849883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6622d2 |
Quadratic twists by: -11 |