Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840y |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
480918896640 = 224 · 32 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9896,-374160] |
[a1,a2,a3,a4,a6] |
j |
26168974809769/117411840 |
j-invariant |
L |
1.9151738939689 |
L(r)(E,1)/r! |
Ω |
0.47879347349223 |
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 |
2730m1 87360gx1 65520dk1 109200gi1 |
Quadratic twists by: -4 8 -3 5 |