Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416cy |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-53258010624 = -1 · 214 · 36 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 4 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,-11104] |
[a1,a2,a3,a4,a6] |
j |
-1024/4459 |
j-invariant |
L |
3.0546347398592 |
L(r)(E,1)/r! |
Ω |
0.50910578979887 |
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 |
52416ff1 6552i1 5824m1 |
Quadratic twists by: -4 8 -3 |