Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360bo |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-4.7546787150824E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7686363,-8847711862] |
[a1,a2,a3,a4,a6] |
j |
-16818951115904497561/1592332281446400 |
j-invariant |
L |
1.0822295116787 |
L(r)(E,1)/r! |
Ω |
0.045092896319946 |
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 |
1170k3 37440fb3 3120s3 46800dd3 |
Quadratic twists by: -4 8 -3 5 |