Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848cs |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-3539060786115477504 = -1 · 215 · 33 · 712 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,176063,-85869985] |
[a1,a2,a3,a4,a6] |
j |
18419405270942584/108003564029403 |
j-invariant |
L |
4.5049532898276 |
L(r)(E,1)/r! |
Ω |
0.1251375913841 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22848bt3 11424n4 68544ex3 |
Quadratic twists by: -4 8 -3 |