Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200di |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-886580160000000 = -1 · 212 · 3 · 57 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23992,-72012] |
[a1,a2,a3,a4,a6] |
j |
23862997439/13852815 |
j-invariant |
L |
2.3655077961862 |
L(r)(E,1)/r! |
Ω |
0.29568847452396 |
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 |
2325b4 111600fn3 7440r4 |
Quadratic twists by: -4 -3 5 |