Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775dd |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
151200 |
Modular degree for the optimal curve |
Δ |
-725885138671875 = -1 · 35 · 59 · 76 · 13 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -1 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4083,-1301506] |
[a1,a2,a3,a4,a6] |
j |
-32768/3159 |
j-invariant |
L |
2.2438902106837 |
L(r)(E,1)/r! |
Ω |
0.22438902106147 |
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 |
47775bk1 975f1 |
Quadratic twists by: 5 -7 |