Atkin-Lehner |
2- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50864bf |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
254016 |
Modular degree for the optimal curve |
Δ |
-3304195650224128 = -1 · 233 · 113 · 172 |
Discriminant |
Eigenvalues |
2- -2 0 2 11+ -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,26832,2196820] |
[a1,a2,a3,a4,a6] |
j |
1804716011375/2791309312 |
j-invariant |
L |
1.2167556189546 |
L(r)(E,1)/r! |
Ω |
0.30418890459702 |
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 |
6358i1 50864bt1 |
Quadratic twists by: -4 17 |