Atkin-Lehner |
2- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
80920j |
Isogeny class |
Conductor |
80920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-3217055196320000000 = -1 · 211 · 57 · 72 · 177 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ -6 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-539563,-175266362] |
[a1,a2,a3,a4,a6] |
j |
-351420193602/65078125 |
j-invariant |
L |
0.69760001043158 |
L(r)(E,1)/r! |
Ω |
0.087199996481641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4760e1 |
Quadratic twists by: 17 |