Atkin-Lehner |
2- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3136ba |
Isogeny class |
Conductor |
3136 |
Conductor |
∏ cp |
8 |
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 |
[-19:196:1] |
Generators of the group modulo torsion |
j |
125000/49 |
j-invariant |
L |
2.4322181026187 |
L(r)(E,1)/r! |
Ω |
0.91805238911886 |
Real period |
R |
1.3246619318496 |
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 |
3136z2 1568c2 28224fh2 78400ih2 |
Quadratic twists by: -4 8 -3 5 |