Atkin-Lehner |
2- 7+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
81872x |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-28082096 = -1 · 24 · 74 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3 -3 7+ 6 1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-244,-1489] |
[a1,a2,a3,a4,a6] |
j |
-100409131008/1755131 |
j-invariant |
L |
4.8268251027799 |
L(r)(E,1)/r! |
Ω |
0.60335314007264 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20468g1 |
Quadratic twists by: -4 |