Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440fb |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3.0429943776528E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30745452,-70781694896] |
[a1,a2,a3,a4,a6] |
j |
-16818951115904497561/1592332281446400 |
j-invariant |
L |
1.1478777397376 |
L(r)(E,1)/r! |
Ω |
0.031885492771176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440cd3 9360bo3 12480cm3 |
Quadratic twists by: -4 8 -3 |