Atkin-Lehner |
2- 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
32736l |
Isogeny class |
Conductor |
32736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-46811432448 = -1 · 29 · 32 · 11 · 314 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,736,7272] |
[a1,a2,a3,a4,a6] |
j |
85999709944/91428579 |
j-invariant |
L |
3.0028281500698 |
L(r)(E,1)/r! |
Ω |
0.75070703751628 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32736j2 65472ca3 98208n2 |
Quadratic twists by: -4 8 -3 |