Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24200p |
Isogeny class |
Conductor |
24200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-623589472000 = -1 · 28 · 53 · 117 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1412,31572] |
[a1,a2,a3,a4,a6] |
Generators |
[10746:393855:8] |
Generators of the group modulo torsion |
j |
5488/11 |
j-invariant |
L |
6.8189403390328 |
L(r)(E,1)/r! |
Ω |
0.63104511780176 |
Real period |
R |
5.4028944576788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48400be1 24200be1 2200k1 |
Quadratic twists by: -4 5 -11 |