Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
13536q |
Isogeny class |
Conductor |
13536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-177619392 = -1 · 26 · 310 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 2 -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,87,-560] |
[a1,a2,a3,a4,a6] |
Generators |
[80:720:1] |
Generators of the group modulo torsion |
j |
1560896/3807 |
j-invariant |
L |
6.2406900011543 |
L(r)(E,1)/r! |
Ω |
0.93190512190769 |
Real period |
R |
3.3483505211234 |
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 |
13536j1 27072cs1 4512p1 |
Quadratic twists by: -4 8 -3 |