Atkin-Lehner |
2- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66640cb |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-932975393840 = -1 · 24 · 5 · 79 · 172 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1372,-50421] |
[a1,a2,a3,a4,a6] |
j |
-442368/1445 |
j-invariant |
L |
3.250928587967 |
L(r)(E,1)/r! |
Ω |
0.36121428666232 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16660i1 66640bj1 |
Quadratic twists by: -4 -7 |