Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8736ba |
Isogeny class |
Conductor |
8736 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-14309568 = -1 · 26 · 33 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6,-180] |
[a1,a2,a3,a4,a6] |
Generators |
[12:42:1] |
Generators of the group modulo torsion |
j |
314432/223587 |
j-invariant |
L |
4.5698413093755 |
L(r)(E,1)/r! |
Ω |
1.0386651006873 |
Real period |
R |
0.73328758011145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8736p1 17472cd2 26208v1 61152be1 |
Quadratic twists by: -4 8 -3 -7 |