Atkin-Lehner |
2- 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
15936x |
Isogeny class |
Conductor |
15936 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-658254200832 = -1 · 217 · 36 · 832 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2817,68607] |
[a1,a2,a3,a4,a6] |
j |
-18868113794/5022081 |
j-invariant |
L |
5.1858611654543 |
L(r)(E,1)/r! |
Ω |
0.86431019424238 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15936b2 3984a2 47808bq2 |
Quadratic twists by: -4 8 -3 |