Atkin-Lehner |
2+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38080i |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
4 |
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 |
1.0169179694941 |
L(r)(E,1)/r! |
Ω |
0.25422949235756 |
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 |
38080bb1 4760e1 |
Quadratic twists by: -4 8 |