Atkin-Lehner |
2- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50864bi |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
75600 |
Modular degree for the optimal curve |
Δ |
-1575563264 = -1 · 212 · 113 · 172 |
Discriminant |
Eigenvalues |
2- -3 2 -2 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4624,-121040] |
[a1,a2,a3,a4,a6] |
j |
-9236754432/1331 |
j-invariant |
L |
0.28947519172791 |
L(r)(E,1)/r! |
Ω |
0.28947519032195 |
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 |
3179f1 50864bu1 |
Quadratic twists by: -4 17 |