Atkin-Lehner |
2- 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090dm |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
deg |
4866048 |
Modular degree for the optimal curve |
Δ |
-1.1208846624057E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-603600,-540460800] |
[a1,a2,a3,a4,a6] |
j |
-164287467238609/757170892800 |
j-invariant |
L |
7.4519473375848 |
L(r)(E,1)/r! |
Ω |
0.077624457977744 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4830ba1 |
Quadratic twists by: -23 |