Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840s |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-17986179120 = -1 · 24 · 3 · 5 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-735,-10272] |
[a1,a2,a3,a4,a6] |
j |
-2748251600896/1124136195 |
j-invariant |
L |
3.59498437491 |
L(r)(E,1)/r! |
Ω |
0.44937304686375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10920n1 87360ea1 65520s1 109200o1 |
Quadratic twists by: -4 8 -3 5 |