Atkin-Lehner |
2- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3136z |
Isogeny class |
Conductor |
3136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
188900999168 = 215 · 78 |
Discriminant |
Eigenvalues |
2- 2 0 7- -4 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633,-13887] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1176:1] |
Generators of the group modulo torsion |
j |
125000/49 |
j-invariant |
L |
4.4137275427909 |
L(r)(E,1)/r! |
Ω |
0.77657554715371 |
Real period |
R |
1.4208944509546 |
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 |
3136ba2 1568e2 28224ff2 78400iu2 |
Quadratic twists by: -4 8 -3 5 |