Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8184m |
Isogeny class |
Conductor |
8184 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
204753205527552 = 210 · 39 · 11 · 314 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69608,-7058304] |
[a1,a2,a3,a4,a6] |
j |
36425662686062500/199954302273 |
j-invariant |
L |
2.6461855610167 |
L(r)(E,1)/r! |
Ω |
0.29402061789074 |
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 |
16368a1 65472a1 24552d1 90024i1 |
Quadratic twists by: -4 8 -3 -11 |