Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
4400bb |
Isogeny class |
Conductor |
4400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
5500000000 = 28 · 59 · 11 |
Discriminant |
Eigenvalues |
2- 0 5- -2 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7375,-243750] |
[a1,a2,a3,a4,a6] |
j |
88723728/11 |
j-invariant |
L |
1.0303677928145 |
L(r)(E,1)/r! |
Ω |
0.51518389640723 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1100d2 17600cr2 39600ep2 4400ba2 |
Quadratic twists by: -4 8 -3 5 |