Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
2736n |
Isogeny class |
Conductor |
2736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
245770371072 = 214 · 37 · 193 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61635,-5889598] |
[a1,a2,a3,a4,a6] |
Generators |
[1793:75152:1] |
Generators of the group modulo torsion |
j |
8671983378625/82308 |
j-invariant |
L |
3.536427361853 |
L(r)(E,1)/r! |
Ω |
0.30300022564339 |
Real period |
R |
5.8356843701087 |
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 |
342c3 10944ci3 912e3 68400et3 |
Quadratic twists by: -4 8 -3 5 |