Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840bx |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
6.118241177974E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-253902416,1004234356884] |
[a1,a2,a3,a4,a6] |
j |
441940971557374648005559249/149371122509129665872000 |
j-invariant |
L |
1.8941588427167 |
L(r)(E,1)/r! |
Ω |
0.047353971067917 |
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 |
2730r3 87360fp3 65520ee3 109200dj3 |
Quadratic twists by: -4 8 -3 5 |