Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848y |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-6484100856746655744 = -1 · 214 · 39 · 72 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 5 -1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9841909,11881474259] |
[a1,a2,a3,a4,a6] |
j |
-6434900743458429657088/395758108932291 |
j-invariant |
L |
4.0545240151532 |
L(r)(E,1)/r! |
Ω |
0.22525133417518 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22848ce1 1428b1 68544bt1 |
Quadratic twists by: -4 8 -3 |