Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050ef |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-65649677319450 = -1 · 2 · 313 · 52 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 1 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13460,-713023] |
[a1,a2,a3,a4,a6] |
j |
-125768785/30618 |
j-invariant |
L |
3.50095251227 |
L(r)(E,1)/r! |
Ω |
0.21880953201687 |
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 |
7350y1 22050cm1 3150bj1 |
Quadratic twists by: -3 5 -7 |