Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
88218br |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-6356936413854 = -1 · 2 · 33 · 136 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 0 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1046,-121741] |
[a1,a2,a3,a4,a6] |
Generators |
[48072:372689:512] |
Generators of the group modulo torsion |
j |
-970299/48778 |
j-invariant |
L |
14.478474263748 |
L(r)(E,1)/r! |
Ω |
0.33006726929801 |
Real period |
R |
3.6554352253743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920762 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88218e2 522c1 |
Quadratic twists by: -3 13 |