Atkin-Lehner |
2- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
33200y |
Isogeny class |
Conductor |
33200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-1.359872E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 5 -2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4474008,-3683913488] |
[a1,a2,a3,a4,a6] |
j |
-154751228078685841/2124800000000 |
j-invariant |
L |
1.6595510901247 |
L(r)(E,1)/r! |
Ω |
0.051860971566499 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4150b1 6640e1 |
Quadratic twists by: -4 5 |