Atkin-Lehner |
2+ 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
7872g |
Isogeny class |
Conductor |
7872 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-13333613248512 = -1 · 219 · 32 · 414 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3903,-149823] |
[a1,a2,a3,a4,a6] |
j |
25076571983/50863698 |
j-invariant |
L |
2.9500186655434 |
L(r)(E,1)/r! |
Ω |
0.36875233319293 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7872bi4 246e4 23616k3 |
Quadratic twists by: -4 8 -3 |