Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050ej |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-804392408285156250 = -1 · 2 · 36 · 59 · 710 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5413505,-4846875253] |
[a1,a2,a3,a4,a6] |
j |
-5452947409/250 |
j-invariant |
L |
3.5631264208418 |
L(r)(E,1)/r! |
Ω |
0.049487866956136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2450h2 4410k2 22050du2 |
Quadratic twists by: -3 5 -7 |