Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37752u |
Isogeny class |
Conductor |
37752 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
818052261956557056 = 28 · 36 · 1110 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-533892,143529120] |
[a1,a2,a3,a4,a6] |
j |
37109806448848/1803785841 |
j-invariant |
L |
3.3476105968584 |
L(r)(E,1)/r! |
Ω |
0.27896754974142 |
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 |
75504c2 113256r2 3432e2 |
Quadratic twists by: -4 -3 -11 |