Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050fm |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
291776343642000 = 24 · 311 · 53 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-75200,7913427] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:4041:1] |
Generators of the group modulo torsion |
j |
4386781853/27216 |
j-invariant |
L |
8.2575559725736 |
L(r)(E,1)/r! |
Ω |
0.5501615008373 |
Real period |
R |
0.93808317648616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7350q1 22050cj1 3150bo1 |
Quadratic twists by: -3 5 -7 |