Atkin-Lehner |
2- 3- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770bw |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
9905946865920 = 28 · 311 · 5 · 7 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5387,-13669] |
[a1,a2,a3,a4,a6] |
j |
23711636464489/13588404480 |
j-invariant |
L |
4.8363837443007 |
L(r)(E,1)/r! |
Ω |
0.60454796810921 |
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 |
16590h1 |
Quadratic twists by: -3 |