Atkin-Lehner |
2- 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
79680bn |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2539560960000 = 216 · 32 · 54 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8385,288225] |
[a1,a2,a3,a4,a6] |
j |
994958062276/38750625 |
j-invariant |
L |
3.2231078733855 |
L(r)(E,1)/r! |
Ω |
0.80577694884998 |
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 |
79680z2 19920e2 |
Quadratic twists by: -4 8 |