Atkin-Lehner |
2+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
5696d |
Isogeny class |
Conductor |
5696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-259555328 = -1 · 215 · 892 |
Discriminant |
Eigenvalues |
2+ 0 -2 -2 -4 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76,816] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:24:1] [4:24:1] |
Generators of the group modulo torsion |
j |
-1481544/7921 |
j-invariant |
L |
4.3026708991367 |
L(r)(E,1)/r! |
Ω |
1.5128162146202 |
Real period |
R |
1.4220732358478 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5696c2 2848a2 51264j2 |
Quadratic twists by: -4 8 -3 |