Atkin-Lehner |
2- 3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
19392bn |
Isogeny class |
Conductor |
19392 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
5892222908104704 = 221 · 33 · 1014 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-87329,-9250209] |
[a1,a2,a3,a4,a6] |
j |
280972764518473/22477046616 |
j-invariant |
L |
1.6747874938429 |
L(r)(E,1)/r! |
Ω |
0.27913124897382 |
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 |
19392i4 4848h3 58176bu3 |
Quadratic twists by: -4 8 -3 |