Atkin-Lehner |
2+ 3- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
27234k |
Isogeny class |
Conductor |
27234 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
9.2273995297302E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 6 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16993872,26569363392] |
[a1,a2,a3,a4,a6] |
j |
744514613306677157946625/12657612523635381312 |
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 |
6 |
Number of elements in the torsion subgroup |
Twists |
9078g3 |
Quadratic twists by: -3 |