Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050er |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-252152395740000000 = -1 · 28 · 37 · 57 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,110020,-19684353] |
[a1,a2,a3,a4,a6] |
j |
109902239/188160 |
j-invariant |
L |
2.6191322252041 |
L(r)(E,1)/r! |
Ω |
0.16369576407525 |
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 |
7350g1 4410t1 3150bi1 |
Quadratic twists by: -3 5 -7 |