Atkin-Lehner |
2- 3- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
54384s |
Isogeny class |
Conductor |
54384 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-88211718144 = -1 · 218 · 33 · 112 · 103 |
Discriminant |
Eigenvalues |
2- 3- 3 4 11+ -5 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2904,60948] |
[a1,a2,a3,a4,a6] |
Generators |
[36:66:1] |
Generators of the group modulo torsion |
j |
-661459323097/21536064 |
j-invariant |
L |
10.704603358756 |
L(r)(E,1)/r! |
Ω |
1.0698614481066 |
Real period |
R |
0.83379981723709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6798f1 |
Quadratic twists by: -4 |