Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848cd |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-164313384181825536 = -1 · 232 · 38 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -6 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-213409,-42593471] |
[a1,a2,a3,a4,a6] |
Generators |
[33309:6078464:1] |
Generators of the group modulo torsion |
j |
-4100379159705193/626805817344 |
j-invariant |
L |
3.0522339184062 |
L(r)(E,1)/r! |
Ω |
0.11013374649125 |
Real period |
R |
4.6189807327414 |
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 |
22848x1 5712w1 68544et1 |
Quadratic twists by: -4 8 -3 |