Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2448m |
Isogeny class |
Conductor |
2448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-9517824 = -1 · 28 · 37 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 0 5 -5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,-196] |
[a1,a2,a3,a4,a6] |
Generators |
[10:18:1] |
Generators of the group modulo torsion |
j |
-65536/51 |
j-invariant |
L |
3.0777939104908 |
L(r)(E,1)/r! |
Ω |
0.87747629274098 |
Real period |
R |
0.87688805268934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
612c1 9792bi1 816g1 61200fi1 |
Quadratic twists by: -4 8 -3 5 |