Atkin-Lehner |
2- 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320bp |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-569062195200000 = -1 · 225 · 34 · 55 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -1 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5121,-1154655] |
[a1,a2,a3,a4,a6] |
j |
-56667352321/2170800000 |
j-invariant |
L |
1.807761991687 |
L(r)(E,1)/r! |
Ω |
0.22597024893632 |
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 |
64320bb1 16080z1 |
Quadratic twists by: -4 8 |