Atkin-Lehner |
2+ 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
38592bg |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-3111347552256 = -1 · 218 · 311 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 0 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-457644,-119162576] |
[a1,a2,a3,a4,a6] |
Generators |
[998:20448:1] |
Generators of the group modulo torsion |
j |
-55467626237353/16281 |
j-invariant |
L |
2.9794586499396 |
L(r)(E,1)/r! |
Ω |
0.091777792627474 |
Real period |
R |
4.0579787395208 |
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 |
38592bz1 603c1 12864v1 |
Quadratic twists by: -4 8 -3 |