Atkin-Lehner |
2- 3- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13416i |
Isogeny class |
Conductor |
13416 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6479606016 = 28 · 34 · 132 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-772,7040] |
[a1,a2,a3,a4,a6] |
j |
199020624208/25310961 |
j-invariant |
L |
5.1546837863242 |
L(r)(E,1)/r! |
Ω |
1.288670946581 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26832d2 107328b2 40248o2 |
Quadratic twists by: -4 8 -3 |