Atkin-Lehner |
2- 3- 11+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24882bg |
Isogeny class |
Conductor |
24882 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-17066891844288 = -1 · 26 · 312 · 113 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11+ 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-824258,287964804] |
[a1,a2,a3,a4,a6] |
j |
-61931736588898058766625/17066891844288 |
j-invariant |
L |
4.440751786687 |
L(r)(E,1)/r! |
Ω |
0.55509397333589 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
74646x1 |
Quadratic twists by: -3 |