Atkin-Lehner |
2- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
50752n |
Isogeny class |
Conductor |
50752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-25970056626176 = -1 · 229 · 13 · 612 |
Discriminant |
Eigenvalues |
2- -1 -3 -1 2 13- -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7137,-335231] |
[a1,a2,a3,a4,a6] |
j |
-153388121977/99067904 |
j-invariant |
L |
1.0094915648823 |
L(r)(E,1)/r! |
Ω |
0.25237289146302 |
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 |
50752g1 12688c1 |
Quadratic twists by: -4 8 |