Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
8040l |
Isogeny class |
Conductor |
8040 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-250076160 = -1 · 210 · 36 · 5 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 6 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,40,768] |
[a1,a2,a3,a4,a6] |
j |
6740636/244215 |
j-invariant |
L |
3.9731861714075 |
L(r)(E,1)/r! |
Ω |
1.3243953904692 |
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 |
16080f1 64320g1 24120h1 40200h1 |
Quadratic twists by: -4 8 -3 5 |