Atkin-Lehner |
2- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89908d |
Isogeny class |
Conductor |
89908 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
281951488 = 28 · 73 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 3 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-173,287] |
[a1,a2,a3,a4,a6] |
j |
13312000/6517 |
j-invariant |
L |
1.5414674146453 |
L(r)(E,1)/r! |
Ω |
1.5414674389726 |
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 |
89908i1 |
Quadratic twists by: 13 |