Atkin-Lehner |
2- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32110v |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-596110911500 = -1 · 22 · 53 · 137 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 0 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-426,37123] |
[a1,a2,a3,a4,a6] |
j |
-1771561/123500 |
j-invariant |
L |
3.0268271783119 |
L(r)(E,1)/r! |
Ω |
0.75670679457811 |
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 |
2470c1 |
Quadratic twists by: 13 |