Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3168i |
Isogeny class |
Conductor |
3168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-157473671796638208 = -1 · 29 · 326 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165531,32194226] |
[a1,a2,a3,a4,a6] |
j |
-1343891598641864/421900912521 |
j-invariant |
L |
0.61274892408216 |
L(r)(E,1)/r! |
Ω |
0.30637446204108 |
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 |
3168z4 6336bb4 1056g4 79200dq2 |
Quadratic twists by: -4 8 -3 5 |