Atkin-Lehner |
2+ 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35568i |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-17522659425024 = -1 · 28 · 310 · 132 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 -5 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51276,4473628] |
[a1,a2,a3,a4,a6] |
j |
-79891143083008/93892851 |
j-invariant |
L |
2.757775490708 |
L(r)(E,1)/r! |
Ω |
0.68944387267808 |
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 |
17784p1 11856j1 |
Quadratic twists by: -4 -3 |