Atkin-Lehner |
2- 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
1440n |
Isogeny class |
Conductor |
1440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
21257640000 = 26 · 312 · 54 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2037,34684] |
[a1,a2,a3,a4,a6] |
j |
20034997696/455625 |
j-invariant |
L |
2.4178902130141 |
L(r)(E,1)/r! |
Ω |
1.2089451065071 |
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 |
1440g1 2880m2 480d1 7200p1 |
Quadratic twists by: -4 8 -3 5 |