Atkin-Lehner |
2- 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
2988b |
Isogeny class |
Conductor |
2988 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-320127531264 = -1 · 28 · 37 · 833 |
Discriminant |
Eigenvalues |
2- 3- 3 2 3 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,969,24622] |
[a1,a2,a3,a4,a6] |
j |
539172272/1715361 |
j-invariant |
L |
2.7286604357507 |
L(r)(E,1)/r! |
Ω |
0.68216510893768 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
11952q2 47808q2 996c2 74700e2 |
Quadratic twists by: -4 8 -3 5 |