Atkin-Lehner |
2- 3- 5- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21390r |
Isogeny class |
Conductor |
21390 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-1.110863453763E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5520730,5243521892] |
[a1,a2,a3,a4,a6] |
j |
-18608580282225264444853921/1110863453762985999360 |
j-invariant |
L |
6.1042636460097 |
L(r)(E,1)/r! |
Ω |
0.15260659115024 |
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 |
64170k3 106950k3 |
Quadratic twists by: -3 5 |