Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
21216n |
Isogeny class |
Conductor |
21216 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
Δ |
59539171232526336 = 212 · 311 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -2 13+ 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16064257,-24787508305] |
[a1,a2,a3,a4,a6] |
j |
111929798417942466883648/14535930476691 |
j-invariant |
L |
3.3180816703696 |
L(r)(E,1)/r! |
Ω |
0.075410947053856 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21216k2 42432bz1 63648a2 |
Quadratic twists by: -4 8 -3 |