Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848m |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
42284519424 = 212 · 36 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1289,-14391] |
[a1,a2,a3,a4,a6] |
j |
57870788032/10323369 |
j-invariant |
L |
1.6129604277313 |
L(r)(E,1)/r! |
Ω |
0.80648021386567 |
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 |
22848w2 11424v1 68544cn2 |
Quadratic twists by: -4 8 -3 |