Atkin-Lehner |
2- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
19880j |
Isogeny class |
Conductor |
19880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
-12723200 = -1 · 210 · 52 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ 3 5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,53,86] |
[a1,a2,a3,a4,a6] |
j |
16078716/12425 |
j-invariant |
L |
5.7652526208454 |
L(r)(E,1)/r! |
Ω |
1.4413131552114 |
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 |
39760i1 99400f1 |
Quadratic twists by: -4 5 |