Atkin-Lehner |
2- 3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850cn |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
838500 = 22 · 3 · 53 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-178,-928] |
[a1,a2,a3,a4,a6] |
j |
4991443829/6708 |
j-invariant |
L |
5.2284972559334 |
L(r)(E,1)/r! |
Ω |
1.3071243226626 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83850j1 |
Quadratic twists by: 5 |