Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8892k |
Isogeny class |
Conductor |
8892 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-599249664 = -1 · 28 · 36 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -3 13+ 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,144,-972] |
[a1,a2,a3,a4,a6] |
j |
1769472/3211 |
j-invariant |
L |
3.4155379880582 |
L(r)(E,1)/r! |
Ω |
0.85388449701456 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35568bq1 988c1 115596t1 |
Quadratic twists by: -4 -3 13 |