Atkin-Lehner |
2+ 3- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
51264i |
Isogeny class |
Conductor |
51264 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-189215834112 = -1 · 215 · 36 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -4 -4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-684,22032] |
[a1,a2,a3,a4,a6] |
j |
-1481544/7921 |
j-invariant |
L |
3.4936993925648 |
L(r)(E,1)/r! |
Ω |
0.87342484874541 |
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 |
51264j2 25632c2 5696c2 |
Quadratic twists by: -4 8 -3 |