Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5520k |
Isogeny class |
Conductor |
5520 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2922941863416268800 = 211 · 36 · 52 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-870880,301514900] |
[a1,a2,a3,a4,a6] |
j |
35667215800077781442/1427217706746225 |
j-invariant |
L |
3.0207718831009 |
L(r)(E,1)/r! |
Ω |
0.25173099025841 |
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 |
2760f5 22080bw6 16560k5 27600a6 |
Quadratic twists by: -4 8 -3 5 |