Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848s |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16704995328 = 217 · 32 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -6 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1377,-18207] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:21:1] |
Generators of the group modulo torsion |
j |
2204605874/127449 |
j-invariant |
L |
5.0826725585868 |
L(r)(E,1)/r! |
Ω |
0.78651056987629 |
Real period |
R |
1.6155766855702 |
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 |
22848cp2 2856d2 68544cd2 |
Quadratic twists by: -4 8 -3 |