Atkin-Lehner |
2- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
42640j |
Isogeny class |
Conductor |
42640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-3411200000000 = -1 · 214 · 58 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 2 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10296,408404] |
[a1,a2,a3,a4,a6] |
j |
-29472131485369/832812500 |
j-invariant |
L |
3.1612569616916 |
L(r)(E,1)/r! |
Ω |
0.79031424044383 |
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 |
5330a1 |
Quadratic twists by: -4 |