Atkin-Lehner |
2- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38870w |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
69498000 |
Modular degree for the optimal curve |
Δ |
-2.2021449568982E+27 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 4 13+ -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17780221998,912551381643581] |
[a1,a2,a3,a4,a6] |
j |
-762058709620329537263942289/2699597919027200000 |
j-invariant |
L |
1.093218438251 |
L(r)(E,1)/r! |
Ω |
0.040489571788774 |
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 |
38870m1 |
Quadratic twists by: 13 |