Atkin-Lehner |
2+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38080n |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
164864 |
Modular degree for the optimal curve |
Δ |
-13177058084126720 = -1 · 217 · 5 · 72 · 177 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ -2 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26145,-5766337] |
[a1,a2,a3,a4,a6] |
j |
-15079826167058/100532974885 |
j-invariant |
L |
1.3361074549366 |
L(r)(E,1)/r! |
Ω |
0.16701343186744 |
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 |
38080bp1 4760a1 |
Quadratic twists by: -4 8 |