Atkin-Lehner |
2+ 3- 5- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
32190k |
Isogeny class |
Conductor |
32190 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-1.3952966847469E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 3 -1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3600837,5038326406] |
[a1,a2,a3,a4,a6] |
j |
5163382196902897118400599/13952966847468750000000 |
j-invariant |
L |
3.5168696942206 |
L(r)(E,1)/r! |
Ω |
0.087921742355433 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
96570u1 |
Quadratic twists by: -3 |