Atkin-Lehner |
2- 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
5610bk |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
35157196800 = 214 · 33 · 52 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-880,4352] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:128:1] |
Generators of the group modulo torsion |
j |
75370704203521/35157196800 |
j-invariant |
L |
6.6383971333616 |
L(r)(E,1)/r! |
Ω |
1.0376133825557 |
Real period |
R |
0.15232752127246 |
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 |
44880by1 16830u1 28050c1 61710bj1 |
Quadratic twists by: -4 -3 5 -11 |