Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712ej |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
28477329408 = 212 · 37 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-804,3328] |
[a1,a2,a3,a4,a6] |
j |
19248832/9537 |
j-invariant |
L |
4.1900249963765 |
L(r)(E,1)/r! |
Ω |
1.0475062179772 |
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 |
107712dl1 53856g1 35904co1 |
Quadratic twists by: -4 8 -3 |