Atkin-Lehner |
2- 3- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
9078g |
Isogeny class |
Conductor |
9078 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
3719357495207834112 = 29 · 324 · 172 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -6 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-431248,-57237760] |
[a1,a2,a3,a4,a6] |
Generators |
[-196:4544:1] |
Generators of the group modulo torsion |
j |
8869620880910451642625/3719357495207834112 |
j-invariant |
L |
7.7829671742787 |
L(r)(E,1)/r! |
Ω |
0.19338652565377 |
Real period |
R |
3.3538044890354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
72624k2 27234k2 |
Quadratic twists by: -4 -3 |