Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
2736m |
Isogeny class |
Conductor |
2736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-7614667778162688 = -1 · 239 · 36 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -6 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12315,-4231222] |
[a1,a2,a3,a4,a6] |
Generators |
[288871:2424832:1331] |
Generators of the group modulo torsion |
j |
-69173457625/2550136832 |
j-invariant |
L |
3.3034068917671 |
L(r)(E,1)/r! |
Ω |
0.18192617114929 |
Real period |
R |
4.5394882865097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
342a3 10944cf3 304b3 68400ee3 |
Quadratic twists by: -4 8 -3 5 |