Atkin-Lehner |
2- 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
5590g |
Isogeny class |
Conductor |
5590 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-44720 = -1 · 24 · 5 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3 5- 2 -6 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3,-11] |
[a1,a2,a3,a4,a6] |
j |
4019679/44720 |
j-invariant |
L |
7.0836171277739 |
L(r)(E,1)/r! |
Ω |
1.7709042819435 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44720p1 50310k1 27950h1 72670d1 |
Quadratic twists by: -4 -3 5 13 |