Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510cy |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-2.9302226465112E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-720383,-8239031769] |
[a1,a2,a3,a4,a6] |
j |
-482056280171929/341652696000000 |
j-invariant |
L |
3.8206833923128 |
L(r)(E,1)/r! |
Ω |
0.053065047112729 |
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 |
16170r4 6930bh4 |
Quadratic twists by: -3 -7 |