Atkin-Lehner |
2- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38870be |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67392 |
Modular degree for the optimal curve |
Δ |
-4878069711580 = -1 · 22 · 5 · 139 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3799,-55979] |
[a1,a2,a3,a4,a6] |
Generators |
[5498808:51069635:175616] |
Generators of the group modulo torsion |
j |
571787/460 |
j-invariant |
L |
5.3006251004749 |
L(r)(E,1)/r! |
Ω |
0.42705213985653 |
Real period |
R |
12.41212630911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38870u1 |
Quadratic twists by: 13 |