Atkin-Lehner |
3- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8487i |
Isogeny class |
Conductor |
8487 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
2062341 = 37 · 23 · 41 |
Discriminant |
Eigenvalues |
0 3- -1 -3 -4 0 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-48,-108] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] |
Generators of the group modulo torsion |
j |
16777216/2829 |
j-invariant |
L |
2.521093102868 |
L(r)(E,1)/r! |
Ω |
1.8346176105285 |
Real period |
R |
0.34354476491449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2829f1 |
Quadratic twists by: -3 |