Atkin-Lehner |
2- 3- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
89712x |
Isogeny class |
Conductor |
89712 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2028538515445714944 = 212 · 312 · 76 · 892 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-468291,102558850] |
[a1,a2,a3,a4,a6] |
j |
3803502180324673/679353444441 |
j-invariant |
L |
0.99722004150074 |
L(r)(E,1)/r! |
Ω |
0.24930499192121 |
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 |
5607e2 29904d2 |
Quadratic twists by: -4 -3 |