Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5580a |
Isogeny class |
Conductor |
5580 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-840682800 = -1 · 24 · 37 · 52 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,132,-1267] |
[a1,a2,a3,a4,a6] |
Generators |
[19:90:1] |
Generators of the group modulo torsion |
j |
21807104/72075 |
j-invariant |
L |
3.6524256733206 |
L(r)(E,1)/r! |
Ω |
0.8086586256682 |
Real period |
R |
1.1291617863788 |
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 |
22320bm1 89280bx1 1860a1 27900a1 |
Quadratic twists by: -4 8 -3 5 |