Atkin-Lehner |
2- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
51136h |
Isogeny class |
Conductor |
51136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
20919123968 = 215 · 172 · 472 |
Discriminant |
Eigenvalues |
2- 2 0 0 6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-94273,-11109759] |
[a1,a2,a3,a4,a6] |
j |
2827745805221000/638401 |
j-invariant |
L |
4.3593559084288 |
L(r)(E,1)/r! |
Ω |
0.2724597443329 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51136j2 25568c2 |
Quadratic twists by: -4 8 |