Atkin-Lehner |
2- 3+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
67728n |
Isogeny class |
Conductor |
67728 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
8599969234944 = 215 · 33 · 17 · 833 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 0 -1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5592,79344] |
[a1,a2,a3,a4,a6] |
j |
4722184089433/2099601864 |
j-invariant |
L |
1.3195484536774 |
L(r)(E,1)/r! |
Ω |
0.65977421702344 |
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 |
8466h1 |
Quadratic twists by: -4 |