Atkin-Lehner |
5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
17885r |
Isogeny class |
Conductor |
17885 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
255360 |
Modular degree for the optimal curve |
Δ |
-28767708115234375 = -1 · 510 · 79 · 73 |
Discriminant |
Eigenvalues |
-1 -2 5- 7- 2 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-356770,-82456725] |
[a1,a2,a3,a4,a6] |
j |
-124453298960983/712890625 |
j-invariant |
L |
0.48819547561068 |
L(r)(E,1)/r! |
Ω |
0.097639095122136 |
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 |
89425i1 17885e1 |
Quadratic twists by: 5 -7 |