Atkin-Lehner |
2+ 3- 5- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
66330y |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-8.75490114411E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1950291,-963610587] |
[a1,a2,a3,a4,a6] |
Generators |
[477:8424:1] |
Generators of the group modulo torsion |
j |
1125367343538482287151/1200946659000000000 |
j-invariant |
L |
5.886984905687 |
L(r)(E,1)/r! |
Ω |
0.085465545624602 |
Real period |
R |
1.9133717254165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997494 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
22110p2 |
Quadratic twists by: -3 |