Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050et |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
-7.413280434756E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 5 -5 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32964980,83812210647] |
[a1,a2,a3,a4,a6] |
j |
-1231272543361/230400000 |
j-invariant |
L |
4.4955817687141 |
L(r)(E,1)/r! |
Ω |
0.086453495552195 |
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 |
7350k1 4410u1 22050dw1 |
Quadratic twists by: -3 5 -7 |