Atkin-Lehner |
3- 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8151i |
Isogeny class |
Conductor |
8151 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
1.3169669563232E+19 |
Discriminant |
Eigenvalues |
-1 3- 4 4 11- 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4125616,3220310093] |
[a1,a2,a3,a4,a6] |
j |
7765870188603354972427009/13169669563231641603 |
j-invariant |
L |
3.1362904847297 |
L(r)(E,1)/r! |
Ω |
0.22402074890926 |
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 |
24453d2 89661l2 105963o2 |
Quadratic twists by: -3 -11 13 |