Atkin-Lehner |
2- 89- |
Signs for the Atkin-Lehner involutions |
Class |
5696n |
Isogeny class |
Conductor |
5696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2076442624 = -1 · 218 · 892 |
Discriminant |
Eigenvalues |
2- 2 2 -2 -4 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,223,-1855] |
[a1,a2,a3,a4,a6] |
Generators |
[7689:129700:27] |
Generators of the group modulo torsion |
j |
4657463/7921 |
j-invariant |
L |
5.54779939912 |
L(r)(E,1)/r! |
Ω |
0.77247665907702 |
Real period |
R |
7.1818343427343 |
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 |
5696g2 1424f2 51264bb2 |
Quadratic twists by: -4 8 -3 |