Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
118580z |
Isogeny class |
Conductor |
118580 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-807011455704608000 = -1 · 28 · 53 · 76 · 118 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2587020,1603022632] |
[a1,a2,a3,a4,a6] |
Generators |
[937:874:1] |
Generators of the group modulo torsion |
j |
-296587984/125 |
j-invariant |
L |
4.7299176083845 |
L(r)(E,1)/r! |
Ω |
0.27811889115315 |
Real period |
R |
5.668939666408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999928705 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2420d2 118580x2 |
Quadratic twists by: -7 -11 |