Atkin-Lehner |
3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22785q |
Isogeny class |
Conductor |
22785 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
6060485458198355625 = 36 · 54 · 712 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-461875,-23877568] |
[a1,a2,a3,a4,a6] |
j |
92620878949474849/51513276425625 |
j-invariant |
L |
2.3568559176743 |
L(r)(E,1)/r! |
Ω |
0.1964046598062 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68355n2 113925q2 3255a2 |
Quadratic twists by: -3 5 -7 |