Atkin-Lehner |
2- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
39872z |
Isogeny class |
Conductor |
39872 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
-27732059242496 = -1 · 214 · 74 · 893 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 0 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1423,-252049] |
[a1,a2,a3,a4,a6] |
Generators |
[1067:34888:1] |
Generators of the group modulo torsion |
j |
19436284208/1692630569 |
j-invariant |
L |
5.19382680031 |
L(r)(E,1)/r! |
Ω |
0.31645964830128 |
Real period |
R |
0.68384532174809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39872u1 9968h1 |
Quadratic twists by: -4 8 |