Atkin-Lehner |
3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775bo |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-308554091015625 = -1 · 311 · 58 · 73 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 13- -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-48325,4155250] |
[a1,a2,a3,a4,a6] |
j |
-93153502255/2302911 |
j-invariant |
L |
1.0875232986692 |
L(r)(E,1)/r! |
Ω |
0.54376164935311 |
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 |
47775ci1 47775dh1 |
Quadratic twists by: 5 -7 |