Atkin-Lehner |
2+ 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576ba |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.9942623653056E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2903777,-1713920385] |
[a1,a2,a3,a4,a6] |
j |
10329367348538068537/1142220445749504 |
j-invariant |
L |
5.8241986095593 |
L(r)(E,1)/r! |
Ω |
0.11648397217937 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48576cw2 1518c2 |
Quadratic twists by: -4 8 |