Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960be |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8629493760000 = 216 · 36 · 54 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5868,-99792] |
[a1,a2,a3,a4,a6] |
j |
467720676/180625 |
j-invariant |
L |
2.2545438156465 |
L(r)(E,1)/r! |
Ω |
0.56363595388432 |
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 |
48960ea2 6120k2 5440h2 |
Quadratic twists by: -4 8 -3 |