Atkin-Lehner |
2- 3- 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
109746u |
Isogeny class |
Conductor |
109746 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-9.4363245032581E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5048825,-4608582055] |
[a1,a2,a3,a4,a6] |
j |
-19523921647673454999625/1294420370817292992 |
j-invariant |
L |
3.6119779193299 |
L(r)(E,1)/r! |
Ω |
0.050166364484297 |
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 |
36582d2 |
Quadratic twists by: -3 |