Atkin-Lehner |
2- 3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150dj |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
-2427264000000000 = -1 · 216 · 32 · 59 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26513,-2896983] |
[a1,a2,a3,a4,a6] |
j |
-1055288759741/1242759168 |
j-invariant |
L |
5.72682559438 |
L(r)(E,1)/r! |
Ω |
0.17896329982867 |
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 |
45150t1 |
Quadratic twists by: 5 |