Atkin-Lehner |
2- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
22022s |
Isogeny class |
Conductor |
22022 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-549939424700137472 = -1 · 218 · 72 · 117 · 133 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11- 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83634,36894641] |
[a1,a2,a3,a4,a6] |
j |
-36518366116233/310426468352 |
j-invariant |
L |
4.4974927071262 |
L(r)(E,1)/r! |
Ω |
0.24986070595146 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2002a1 |
Quadratic twists by: -11 |