Atkin-Lehner |
3+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
109989a |
Isogeny class |
Conductor |
109989 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9.1347281823374E+22 |
Discriminant |
Eigenvalues |
-1 3+ 0 -2 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9201710,18082055764] |
[a1,a2,a3,a4,a6] |
j |
-2471052032539875/2619679884701 |
j-invariant |
L |
0.77941874851117 |
L(r)(E,1)/r! |
Ω |
0.097427320583381 |
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 |
109989c2 9999c2 |
Quadratic twists by: -3 -11 |