Atkin-Lehner |
2- 3- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
15936u |
Isogeny class |
Conductor |
15936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-32506380288 = -1 · 219 · 32 · 832 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 0 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,351,8415] |
[a1,a2,a3,a4,a6] |
Generators |
[39:288:1] |
Generators of the group modulo torsion |
j |
18191447/124002 |
j-invariant |
L |
4.2158560751202 |
L(r)(E,1)/r! |
Ω |
0.84893655757595 |
Real period |
R |
1.2415109343265 |
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 |
15936e2 3984d2 47808bx2 |
Quadratic twists by: -4 8 -3 |