Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600gy |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
94003200 |
Modular degree for the optimal curve |
Δ |
-2.7985410281964E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -1 -5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7269409875,-238559574208750] |
[a1,a2,a3,a4,a6] |
Generators |
[685210205525:140278744378350:5735339] |
Generators of the group modulo torsion |
j |
-36422828671263791996785/239929786368 |
j-invariant |
L |
3.0855740918931 |
L(r)(E,1)/r! |
Ω |
0.0081751319238473 |
Real period |
R |
15.726423543965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950bm1 37200co1 111600fo1 |
Quadratic twists by: -4 -3 5 |