Atkin-Lehner |
3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775dc |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46368 |
Modular degree for the optimal curve |
Δ |
-28103404875 = -1 · 3 · 53 · 78 · 13 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ 0 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,572,6304] |
[a1,a2,a3,a4,a6] |
j |
28672/39 |
j-invariant |
L |
1.5960054580349 |
L(r)(E,1)/r! |
Ω |
0.79800272918617 |
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 |
47775y1 47775bj1 |
Quadratic twists by: 5 -7 |