Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
45486bi |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
87360459175808784 = 24 · 38 · 72 · 198 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-250241,-45973119] |
[a1,a2,a3,a4,a6] |
j |
50529889873/2547216 |
j-invariant |
L |
1.7130012420308 |
L(r)(E,1)/r! |
Ω |
0.21412515526783 |
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 |
15162f2 2394f2 |
Quadratic twists by: -3 -19 |