Atkin-Lehner |
2- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
99944g |
Isogeny class |
Conductor |
99944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-71492738322454384 = -1 · 24 · 132 · 319 |
Discriminant |
Eigenvalues |
2- 2 -1 -1 2 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-515416,143176329] |
[a1,a2,a3,a4,a6] |
j |
-1066370439424/5034679 |
j-invariant |
L |
2.7821663429621 |
L(r)(E,1)/r! |
Ω |
0.34777082514007 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3224c1 |
Quadratic twists by: -31 |