Atkin-Lehner |
2- 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
37224m |
Isogeny class |
Conductor |
37224 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-360623572429824 = -1 · 210 · 38 · 11 · 474 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12381,-744050] |
[a1,a2,a3,a4,a6] |
j |
281166385532/483088419 |
j-invariant |
L |
2.2599402328759 |
L(r)(E,1)/r! |
Ω |
0.28249252911053 |
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 |
74448m3 12408a4 |
Quadratic twists by: -4 -3 |