Atkin-Lehner |
2+ 5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
38950o |
Isogeny class |
Conductor |
38950 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
16368737500000 = 25 · 58 · 19 · 413 |
Discriminant |
Eigenvalues |
2+ 1 5- 5 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13326,558048] |
[a1,a2,a3,a4,a6] |
j |
669909683065/41903968 |
j-invariant |
L |
2.7351361431863 |
L(r)(E,1)/r! |
Ω |
0.68378403581255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
38950v1 |
Quadratic twists by: 5 |