Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050dp |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
608006355468750 = 2 · 33 · 59 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-198680,34115197] |
[a1,a2,a3,a4,a6] |
j |
139798359/98 |
j-invariant |
L |
2.040028578644 |
L(r)(E,1)/r! |
Ω |
0.51000714466101 |
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 |
22050r2 22050s2 3150bb2 |
Quadratic twists by: -3 5 -7 |