Atkin-Lehner |
2- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50864bb |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-813824 = -1 · 28 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 0 3 -2 11+ -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-136,-612] |
[a1,a2,a3,a4,a6] |
j |
-3760128/11 |
j-invariant |
L |
1.3977797307339 |
L(r)(E,1)/r! |
Ω |
0.69888986528597 |
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 |
12716c1 50864br1 |
Quadratic twists by: -4 17 |