Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840bk |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.8025934524416E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-662480,36926400] |
[a1,a2,a3,a4,a6] |
j |
7850236389974007121/4400862921000000 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
2730bd2 87360fu2 65520cq2 109200fz2 |
Quadratic twists by: -4 8 -3 5 |