Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
5520p |
Isogeny class |
Conductor |
5520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
110400000000 = 212 · 3 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6096,-180480] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:22:1] |
Generators of the group modulo torsion |
j |
6117442271569/26953125 |
j-invariant |
L |
2.7260505425494 |
L(r)(E,1)/r! |
Ω |
0.54044002901771 |
Real period |
R |
2.5220657206908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
345d4 22080dd3 16560by4 27600cp3 |
Quadratic twists by: -4 8 -3 5 |