Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960dh |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
117554899623840000 = 28 · 32 · 54 · 710 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-122516,-612480] |
[a1,a2,a3,a4,a6] |
j |
6752700360016/3903125625 |
j-invariant |
L |
2.2323416271026 |
L(r)(E,1)/r! |
Ω |
0.2790427037728 |
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 |
14280bp2 |
Quadratic twists by: -7 |