Atkin-Lehner |
2- 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
39160i |
Isogeny class |
Conductor |
39160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
275686400 = 210 · 52 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3576,-81124] |
[a1,a2,a3,a4,a6] |
j |
4940122601956/269225 |
j-invariant |
L |
4.9389140020326 |
L(r)(E,1)/r! |
Ω |
0.61736425026281 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78320j1 |
Quadratic twists by: -4 |