Atkin-Lehner |
2- 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8496r |
Isogeny class |
Conductor |
8496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-704692224 = -1 · 214 · 36 · 59 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -2 -2 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69,1258] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:32:1] |
Generators of the group modulo torsion |
j |
12167/236 |
j-invariant |
L |
5.2684501329437 |
L(r)(E,1)/r! |
Ω |
1.200443197389 |
Real period |
R |
1.0971885517787 |
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 |
1062l1 33984ca1 944i1 |
Quadratic twists by: -4 8 -3 |