Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5520x |
Isogeny class |
Conductor |
5520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-2649600000 = -1 · 212 · 32 · 55 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -4 0 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11701,483299] |
[a1,a2,a3,a4,a6] |
Generators |
[62:3:1] |
Generators of the group modulo torsion |
j |
-43258336804864/646875 |
j-invariant |
L |
4.1761758843524 |
L(r)(E,1)/r! |
Ω |
1.3163597861898 |
Real period |
R |
1.5862592917854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
345a1 22080ca1 16560cd1 27600bq1 |
Quadratic twists by: -4 8 -3 5 |