Atkin-Lehner |
2- 3- 5- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
99990w |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
-2130599608231050 = -1 · 2 · 320 · 52 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ -4 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-82922,9475971] |
[a1,a2,a3,a4,a6] |
j |
-86496907136764249/2922633207450 |
j-invariant |
L |
3.6894348869659 |
L(r)(E,1)/r! |
Ω |
0.46117938156182 |
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 |
33330a1 |
Quadratic twists by: -3 |