Atkin-Lehner |
2- 3- 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990bi |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2411254349662860 = 22 · 312 · 5 · 136 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33998,498417] |
[a1,a2,a3,a4,a6] |
j |
5961345827339161/3307619135340 |
j-invariant |
L |
6.3652395225211 |
L(r)(E,1)/r! |
Ω |
0.39782747010219 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18330d2 |
Quadratic twists by: -3 |