Atkin-Lehner |
2+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
38080w |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-3.6221439480625E+19 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5114507,-4461392644] |
[a1,a2,a3,a4,a6] |
j |
-231182560848427917424704/565959991884765625 |
j-invariant |
L |
3.0113148905681 |
L(r)(E,1)/r! |
Ω |
0.050188581510016 |
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 |
38080p1 19040c2 |
Quadratic twists by: -4 8 |