Atkin-Lehner |
3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8925ba |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-418359375 = -1 · 32 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63,-1008] |
[a1,a2,a3,a4,a6] |
j |
-1771561/26775 |
j-invariant |
L |
1.4394535512881 |
L(r)(E,1)/r! |
Ω |
0.71972677564405 |
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 |
26775bj1 1785e1 62475h1 |
Quadratic twists by: -3 5 -7 |