Atkin-Lehner |
2- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32798j |
Isogeny class |
Conductor |
32798 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2066688 |
Modular degree for the optimal curve |
Δ |
-1.6306535332379E+20 |
Discriminant |
Eigenvalues |
2- -2 3 4 0 -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5322809,-4766920583] |
[a1,a2,a3,a4,a6] |
j |
-402594654913/3936256 |
j-invariant |
L |
4.7681769254717 |
L(r)(E,1)/r! |
Ω |
0.049668509640334 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32798k1 |
Quadratic twists by: -23 |