Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840bk |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
8.9680698351738E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2542800,1493548992] |
[a1,a2,a3,a4,a6] |
j |
443915739051786565201/21894701746029840 |
j-invariant |
L |
2.2626831796096 |
L(r)(E,1)/r! |
Ω |
0.18855693163413 |
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 |
2730bd3 87360fu3 65520cq3 109200fz3 |
Quadratic twists by: -4 8 -3 5 |