Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960cy |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4569675398400 = 28 · 3 · 52 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6876,-196176] |
[a1,a2,a3,a4,a6] |
j |
1193895376/151725 |
j-invariant |
L |
4.2292749665055 |
L(r)(E,1)/r! |
Ω |
0.52865937703801 |
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 |
14280bm2 |
Quadratic twists by: -7 |