Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
90024bc |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
2.9925455466852E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37679924,88973764416] |
[a1,a2,a3,a4,a6] |
j |
13045409065881625552/6598491975009 |
j-invariant |
L |
2.8119356321484 |
L(r)(E,1)/r! |
Ω |
0.14059678610352 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8184g2 |
Quadratic twists by: -11 |