Atkin-Lehner |
3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
1785m |
Isogeny class |
Conductor |
1785 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-19518975 = -1 · 38 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,35,200] |
[a1,a2,a3,a4,a6] |
j |
4733169839/19518975 |
j-invariant |
L |
1.5478483669737 |
L(r)(E,1)/r! |
Ω |
1.5478483669737 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28560dc1 114240q1 5355d1 8925h1 |
Quadratic twists by: -4 8 -3 5 |