Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200ck |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
757760000000 = 218 · 57 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5633,159137] |
[a1,a2,a3,a4,a6] |
j |
4826809/185 |
j-invariant |
L |
1.7828899335974 |
L(r)(E,1)/r! |
Ω |
0.89144496867984 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59200o1 14800y1 11840bn1 |
Quadratic twists by: -4 8 5 |