Atkin-Lehner |
2- 3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55692t |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1566720 |
Modular degree for the optimal curve |
Δ |
114181366153969296 = 24 · 323 · 73 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 6 13- 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6981861,-7100742647] |
[a1,a2,a3,a4,a6] |
j |
3226931868649120999168/9789211775889 |
j-invariant |
L |
4.6438356200152 |
L(r)(E,1)/r! |
Ω |
0.092876712414798 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18564m1 |
Quadratic twists by: -3 |