Atkin-Lehner |
2- 3+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
4944c |
Isogeny class |
Conductor |
4944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1560 |
Modular degree for the optimal curve |
Δ |
-41247792 = -1 · 24 · 35 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 -4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,47,268] |
[a1,a2,a3,a4,a6] |
j |
702464000/2577987 |
j-invariant |
L |
0.72379633119868 |
L(r)(E,1)/r! |
Ω |
1.4475926623974 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1236c1 19776bb1 14832g1 123600cl1 |
Quadratic twists by: -4 8 -3 5 |