Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5544u |
Isogeny class |
Conductor |
5544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-2694384 = -1 · 24 · 37 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ -1 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111,-457] |
[a1,a2,a3,a4,a6] |
j |
-12967168/231 |
j-invariant |
L |
2.9385951403588 |
L(r)(E,1)/r! |
Ω |
0.73464878508971 |
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 |
11088q1 44352cq1 1848c1 38808cf1 |
Quadratic twists by: -4 8 -3 -7 |