Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
22050l |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-389124067500 = -1 · 22 · 33 · 54 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 3 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1608,-17284] |
[a1,a2,a3,a4,a6] |
j |
4725/4 |
j-invariant |
L |
2.0979113097505 |
L(r)(E,1)/r! |
Ω |
0.52447782743762 |
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 |
22050di1 22050cx1 22050p1 |
Quadratic twists by: -3 5 -7 |