Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
22050ez |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
996867063281250 = 2 · 312 · 58 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33305,1787447] |
[a1,a2,a3,a4,a6] |
j |
5975305/1458 |
j-invariant |
L |
2.7819967718687 |
L(r)(E,1)/r! |
Ω |
0.46366612864479 |
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 |
7350be1 22050u1 22050fk1 |
Quadratic twists by: -3 5 -7 |