Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360cj |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
6087629856000 = 28 · 3 · 53 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- -7 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5945,-132525] |
[a1,a2,a3,a4,a6] |
j |
15748096/4125 |
j-invariant |
L |
1.6628047764032 |
L(r)(E,1)/r! |
Ω |
0.55426819675806 |
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 |
64680bo1 129360bg1 |
Quadratic twists by: -4 -7 |