Atkin-Lehner |
2+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11600k |
Isogeny class |
Conductor |
11600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
50880 |
Modular degree for the optimal curve |
Δ |
-23200000000 = -1 · 211 · 58 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 6 6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-118208,-15682412] |
[a1,a2,a3,a4,a6] |
j |
-228337902530/29 |
j-invariant |
L |
1.544858754275 |
L(r)(E,1)/r! |
Ω |
0.12873822952292 |
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 |
5800l1 46400cp1 104400cg1 11600c1 |
Quadratic twists by: -4 8 -3 5 |