Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5544n |
Isogeny class |
Conductor |
5544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
14902272 = 210 · 33 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-531,-4706] |
[a1,a2,a3,a4,a6] |
j |
598885164/539 |
j-invariant |
L |
1.9892042822743 |
L(r)(E,1)/r! |
Ω |
0.99460214113715 |
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 |
11088c1 44352i1 5544b1 38808bv1 |
Quadratic twists by: -4 8 -3 -7 |