Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
2736l |
Isogeny class |
Conductor |
2736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
79847424 = 213 · 33 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-531,4690] |
[a1,a2,a3,a4,a6] |
Generators |
[17:24:1] |
Generators of the group modulo torsion |
j |
149721291/722 |
j-invariant |
L |
2.9608331550542 |
L(r)(E,1)/r! |
Ω |
1.9377870202564 |
Real period |
R |
0.38198640047946 |
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 |
342e2 10944bm2 2736k2 68400dl2 |
Quadratic twists by: -4 8 -3 5 |