Atkin-Lehner |
2- 3- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38760ba |
Isogeny class |
Conductor |
38760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
46067326675200 = 28 · 32 · 52 · 17 · 196 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 6 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10420,-250432] |
[a1,a2,a3,a4,a6] |
j |
488797056521296/179950494825 |
j-invariant |
L |
3.8972227921668 |
L(r)(E,1)/r! |
Ω |
0.48715284901596 |
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 |
77520m1 116280n1 |
Quadratic twists by: -4 -3 |