Atkin-Lehner |
2- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
52598bi |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
8460288 |
Modular degree for the optimal curve |
Δ |
2.339821440363E+22 |
Discriminant |
Eigenvalues |
2- 1 0 7- 0 13- 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-472465298,3952736903684] |
[a1,a2,a3,a4,a6] |
Generators |
[12620:7158:1] |
Generators of the group modulo torsion |
j |
1672022387081128542625/3354218463232 |
j-invariant |
L |
11.38307872182 |
L(r)(E,1)/r! |
Ω |
0.10321549042742 |
Real period |
R |
3.4463936428726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
52598s1 |
Quadratic twists by: 17 |