Atkin-Lehner |
2- 3- 7- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33558bk |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
1440 |
Product of Tamagawa factors cp |
deg |
16957440 |
Modular degree for the optimal curve |
Δ |
-1.0976011415141E+23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2301198288,42489072158976] |
[a1,a2,a3,a4,a6] |
j |
-1347677069261166063915946360890625/109760114151413243707392 |
j-invariant |
L |
3.223747799885 |
L(r)(E,1)/r! |
Ω |
0.080593694997217 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
100674z1 |
Quadratic twists by: -3 |