Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800nf |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2699890341120000000 = -1 · 214 · 316 · 57 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-486300,152602000] |
[a1,a2,a3,a4,a6] |
j |
-68150496976/14467005 |
j-invariant |
L |
3.9136840749128 |
L(r)(E,1)/r! |
Ω |
0.24460525649187 |
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 |
100800dl2 25200ek2 33600gn2 20160eq2 |
Quadratic twists by: -4 8 -3 5 |