Atkin-Lehner |
3- 7+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
50589i |
Isogeny class |
Conductor |
50589 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1472256 |
Modular degree for the optimal curve |
Δ |
-231668449214651757 = -1 · 315 · 73 · 112 · 733 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 11+ 1 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14801054,-21913612590] |
[a1,a2,a3,a4,a6] |
j |
-491896900027975467649177/317789367921333 |
j-invariant |
L |
0.30788346850395 |
L(r)(E,1)/r! |
Ω |
0.038485433577914 |
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 |
16863a1 |
Quadratic twists by: -3 |