Atkin-Lehner |
2- 89- |
Signs for the Atkin-Lehner involutions |
Class |
5696o |
Isogeny class |
Conductor |
5696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
265784655872 = 225 · 892 |
Discriminant |
Eigenvalues |
2- 2 -2 0 0 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43809,-3514687] |
[a1,a2,a3,a4,a6] |
Generators |
[-19862862273:-439990388:165469149] |
Generators of the group modulo torsion |
j |
35471840526793/1013888 |
j-invariant |
L |
4.903473043681 |
L(r)(E,1)/r! |
Ω |
0.32999597168234 |
Real period |
R |
14.859190609761 |
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 |
5696h2 1424e2 51264y2 |
Quadratic twists by: -4 8 -3 |