Atkin-Lehner |
2+ 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
47712h |
Isogeny class |
Conductor |
47712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11686768128 = 29 · 38 · 72 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-568,-568] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:42:1] |
Generators of the group modulo torsion |
j |
39651821000/22825719 |
j-invariant |
L |
7.216648975274 |
L(r)(E,1)/r! |
Ω |
1.0641319246641 |
Real period |
R |
0.847715495607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47712o2 95424e2 |
Quadratic twists by: -4 8 |