Atkin-Lehner |
2- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
90992bc |
Isogeny class |
Conductor |
90992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-28370826618112 = -1 · 28 · 119 · 47 |
Discriminant |
Eigenvalues |
2- 2 0 -1 11- -5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1412,-255924] |
[a1,a2,a3,a4,a6] |
j |
686000/62557 |
j-invariant |
L |
1.2627560938552 |
L(r)(E,1)/r! |
Ω |
0.31568905840376 |
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 |
22748d1 8272j1 |
Quadratic twists by: -4 -11 |