Atkin-Lehner |
2- 3- 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
83472u |
Isogeny class |
Conductor |
83472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1783699144704 = 216 · 32 · 372 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3104,-18444] |
[a1,a2,a3,a4,a6] |
j |
807734827297/435473424 |
j-invariant |
L |
1.3623245883089 |
L(r)(E,1)/r! |
Ω |
0.68116232827962 |
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 |
10434g2 |
Quadratic twists by: -4 |