Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
5544q |
Isogeny class |
Conductor |
5544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-15532587577584 = -1 · 24 · 37 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- 3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14943,-728201] |
[a1,a2,a3,a4,a6] |
j |
-31636584484096/1331669031 |
j-invariant |
L |
1.7229844845491 |
L(r)(E,1)/r! |
Ω |
0.21537306056863 |
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 |
11088t1 44352s1 1848d1 38808ch1 |
Quadratic twists by: -4 8 -3 -7 |