Atkin-Lehner |
2+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5408a |
Isogeny class |
Conductor |
5408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-19770609664 = -1 · 212 · 136 |
Discriminant |
Eigenvalues |
2+ 0 2 0 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,676,0] |
[a1,a2,a3,a4,a6] |
Generators |
[468:10140:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
4.2415653785142 |
L(r)(E,1)/r! |
Ω |
0.72722791993984 |
Real period |
R |
2.9162558684938 |
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 |
5408a4 10816bb1 48672bt2 32a1 |
Quadratic twists by: -4 8 -3 13 |