Atkin-Lehner |
2- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8140b |
Isogeny class |
Conductor |
8140 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
13251920 = 24 · 5 · 112 · 372 |
Discriminant |
Eigenvalues |
2- -2 5- 4 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2285,-42812] |
[a1,a2,a3,a4,a6] |
j |
82499704324096/828245 |
j-invariant |
L |
2.0714940130396 |
L(r)(E,1)/r! |
Ω |
0.69049800434652 |
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 |
32560o1 73260l1 40700c1 89540i1 |
Quadratic twists by: -4 -3 5 -11 |