Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080x |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
195880550400 = 218 · 36 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 6 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12108,512368] |
[a1,a2,a3,a4,a6] |
j |
1027243729/1025 |
j-invariant |
L |
4.0035927816424 |
L(r)(E,1)/r! |
Ω |
1.0008982324427 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080ek1 1845f1 13120t1 |
Quadratic twists by: -4 8 -3 |