Atkin-Lehner |
2- 3- 7+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778bd |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-8.7273685606211E+24 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-69335366,263803858337] |
[a1,a2,a3,a4,a6] |
j |
-50566234590332506250681113/11971698985762836521292 |
j-invariant |
L |
1.1188069987252 |
L(r)(E,1)/r! |
Ω |
0.069925437454891 |
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 |
16926r4 |
Quadratic twists by: -3 |