Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4368o |
Isogeny class |
Conductor |
4368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-132661960704 = -1 · 213 · 34 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,688,-16320] |
[a1,a2,a3,a4,a6] |
j |
8780064047/32388174 |
j-invariant |
L |
2.1129573010389 |
L(r)(E,1)/r! |
Ω |
0.52823932525972 |
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 |
546g4 17472cu4 13104bt4 109200gl3 |
Quadratic twists by: -4 8 -3 5 |