Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
22050cy |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-907748624664000000 = -1 · 29 · 39 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,14470,45831097] |
[a1,a2,a3,a4,a6] |
j |
189/512 |
j-invariant |
L |
3.9560966886766 |
L(r)(E,1)/r! |
Ω |
0.21978314937093 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22050b1 882a2 22050de2 |
Quadratic twists by: -3 5 -7 |