Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27040u |
Isogeny class |
Conductor |
27040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-494265241600 = -1 · 212 · 52 · 136 |
Discriminant |
Eigenvalues |
2- -2 5- 2 4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,33775] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:169:1] |
Generators of the group modulo torsion |
j |
-64/25 |
j-invariant |
L |
4.3565854943607 |
L(r)(E,1)/r! |
Ω |
0.75601556043297 |
Real period |
R |
1.4406401542402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27040j2 54080n1 160a2 |
Quadratic twists by: -4 8 13 |