Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050dk |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1275081744384000 = -1 · 216 · 33 · 53 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-61970,-6165743] |
[a1,a2,a3,a4,a6] |
j |
-66282611823/3211264 |
j-invariant |
L |
4.8278002257719 |
L(r)(E,1)/r! |
Ω |
0.15086875705537 |
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 |
22050n1 22050o1 3150z1 |
Quadratic twists by: -3 5 -7 |