Atkin-Lehner |
2- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32110t |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-5238622690262000 = -1 · 24 · 53 · 1310 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 -3 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-171961,27652585] |
[a1,a2,a3,a4,a6] |
j |
-4079249161/38000 |
j-invariant |
L |
1.7289862590249 |
L(r)(E,1)/r! |
Ω |
0.43224656475725 |
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 |
32110r1 |
Quadratic twists by: 13 |