Atkin-Lehner |
2- 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
80080t |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-816024217382133760 = -1 · 213 · 5 · 78 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32003,-43517822] |
[a1,a2,a3,a4,a6] |
j |
-884984855328729/199224662446810 |
j-invariant |
L |
1.0086677195443 |
L(r)(E,1)/r! |
Ω |
0.12608346766425 |
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 |
10010d4 |
Quadratic twists by: -4 |