Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5586z |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
121469245621248 = 210 · 3 · 78 · 193 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17347,700097] |
[a1,a2,a3,a4,a6] |
j |
4906933498657/1032471552 |
j-invariant |
L |
5.565787989946 |
L(r)(E,1)/r! |
Ω |
0.5565787989946 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44688cl1 16758l1 798g1 106134n1 |
Quadratic twists by: -4 -3 -7 -19 |