Atkin-Lehner |
2+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66640l |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
142464 |
Modular degree for the optimal curve |
Δ |
125442069760 = 28 · 5 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3 5- 7+ 6 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1372,-9604] |
[a1,a2,a3,a4,a6] |
j |
193536/85 |
j-invariant |
L |
7.3508296504468 |
L(r)(E,1)/r! |
Ω |
0.81675885008805 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33320o1 66640j1 |
Quadratic twists by: -4 -7 |