Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128502bs |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
481536 |
Modular degree for the optimal curve |
Δ |
-110637477968292 = -1 · 22 · 37 · 118 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20714,-1248915] |
[a1,a2,a3,a4,a6] |
j |
-6289657/708 |
j-invariant |
L |
7.1180914872777 |
L(r)(E,1)/r! |
Ω |
0.19772478749246 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42834k1 128502n1 |
Quadratic twists by: -3 -11 |