Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
57660i |
Isogeny class |
Conductor |
57660 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
580320 |
Modular degree for the optimal curve |
Δ |
-409387697971680000 = -1 · 28 · 3 · 54 · 318 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -3 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-158885,39213783] |
[a1,a2,a3,a4,a6] |
j |
-2031616/1875 |
j-invariant |
L |
1.0925776217734 |
L(r)(E,1)/r! |
Ω |
0.27314440507975 |
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 |
57660c1 |
Quadratic twists by: -31 |