Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680fb |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4515840 |
Modular degree for the optimal curve |
Δ |
-3.4625530375904E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 1 13+ 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4631952,3940082224] |
[a1,a2,a3,a4,a6] |
j |
-762549907456/24024195 |
j-invariant |
L |
2.7173134137763 |
L(r)(E,1)/r! |
Ω |
0.1698321823379 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7605s1 40560ch1 9360bk1 |
Quadratic twists by: -4 -3 13 |