Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50336bc |
Isogeny class |
Conductor |
50336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
219648 |
Modular degree for the optimal curve |
Δ |
21579937268032 = 26 · 1110 · 13 |
Discriminant |
Eigenvalues |
2- -3 -2 4 11- 13- 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14641,-644204] |
[a1,a2,a3,a4,a6] |
j |
209088/13 |
j-invariant |
L |
0.87141457190112 |
L(r)(E,1)/r! |
Ω |
0.43570728506999 |
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 |
50336n1 100672ba1 50336i1 |
Quadratic twists by: -4 8 -11 |