Atkin-Lehner |
2- 3- 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
104130bm |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-22773231000000 = -1 · 26 · 39 · 56 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2857,221231] |
[a1,a2,a3,a4,a6] |
j |
3538909096919/31239000000 |
j-invariant |
L |
5.9469779138964 |
L(r)(E,1)/r! |
Ω |
0.49558146084003 |
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 |
34710n1 |
Quadratic twists by: -3 |