Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5520k |
Isogeny class |
Conductor |
5520 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
95180147763840000 = 210 · 312 · 54 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-141880,-14287900] |
[a1,a2,a3,a4,a6] |
j |
308453964046598884/92949363050625 |
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 |
8 |
Number of elements in the torsion subgroup |
Twists |
2760f3 22080bw4 16560k3 27600a4 |
Quadratic twists by: -4 8 -3 5 |