Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22344bi |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
4121878833408 = 28 · 3 · 710 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4132,28832] |
[a1,a2,a3,a4,a6] |
Generators |
[184:2352:1] |
Generators of the group modulo torsion |
j |
259108432/136857 |
j-invariant |
L |
7.3983381414388 |
L(r)(E,1)/r! |
Ω |
0.68455198023042 |
Real period |
R |
2.7018905631346 |
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 |
44688f1 67032bg1 3192n1 |
Quadratic twists by: -4 -3 -7 |