Atkin-Lehner |
2- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38080bb |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
179200 |
Modular degree for the optimal curve |
Δ |
-8529920000000 = -1 · 217 · 57 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ 6 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7468,285392] |
[a1,a2,a3,a4,a6] |
j |
-351420193602/65078125 |
j-invariant |
L |
5.6439882701834 |
L(r)(E,1)/r! |
Ω |
0.70549853376826 |
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 |
38080i1 9520c1 |
Quadratic twists by: -4 8 |