Atkin-Lehner |
2+ 3- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
27234k |
Isogeny class |
Conductor |
27234 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.7114116140065E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 6 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3881232,1545419520] |
[a1,a2,a3,a4,a6] |
j |
8869620880910451642625/3719357495207834112 |
j-invariant |
L |
2.3391143568201 |
L(r)(E,1)/r! |
Ω |
0.12995079760108 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9078g2 |
Quadratic twists by: -3 |