Atkin-Lehner |
2- 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8850u |
Isogeny class |
Conductor |
8850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-6271003800 = -1 · 23 · 312 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 3 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,167,-3649] |
[a1,a2,a3,a4,a6] |
j |
20595416135/250840152 |
j-invariant |
L |
3.9493863838308 |
L(r)(E,1)/r! |
Ω |
0.65823106397181 |
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 |
70800cu1 26550x1 8850o1 |
Quadratic twists by: -4 -3 5 |