Atkin-Lehner |
2- 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
480g |
Isogeny class |
Conductor |
480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32 |
Modular degree for the optimal curve |
Δ |
14400 = 26 · 32 · 52 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10,8] |
[a1,a2,a3,a4,a6] |
j |
1906624/225 |
j-invariant |
L |
1.9110078541281 |
L(r)(E,1)/r! |
Ω |
3.8220157082562 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
480b1 960a2 1440c1 2400a1 |
Quadratic twists by: -4 8 -3 5 |