Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18216j |
Isogeny class |
Conductor |
18216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8129953875022848 = 210 · 322 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68259,-5319538] |
[a1,a2,a3,a4,a6] |
j |
47116822207108/10890820413 |
j-invariant |
L |
2.4022563187135 |
L(r)(E,1)/r! |
Ω |
0.30028203983919 |
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 |
36432l3 6072d4 |
Quadratic twists by: -4 -3 |