Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2040o |
Isogeny class |
Conductor |
2040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
-4439040 = -1 · 210 · 3 · 5 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,128] |
[a1,a2,a3,a4,a6] |
j |
-7086244/4335 |
j-invariant |
L |
2.2702565128649 |
L(r)(E,1)/r! |
Ω |
2.2702565128649 |
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 |
4080g1 16320c1 6120h1 10200g1 |
Quadratic twists by: -4 8 -3 5 |