Atkin-Lehner |
2- 3+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
89712g |
Isogeny class |
Conductor |
89712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
30143232 = 28 · 33 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1431,20834] |
[a1,a2,a3,a4,a6] |
j |
46885535856/4361 |
j-invariant |
L |
2.0001892697517 |
L(r)(E,1)/r! |
Ω |
2.0001893000483 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22428a2 89712i2 |
Quadratic twists by: -4 -3 |