Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
2736k |
Isogeny class |
Conductor |
2736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
6127239168 = 214 · 39 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-459,378] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:64:1] |
Generators of the group modulo torsion |
j |
132651/76 |
j-invariant |
L |
3.5650381911473 |
L(r)(E,1)/r! |
Ω |
1.1487389207708 |
Real period |
R |
1.5517182044965 |
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 |
342d1 10944bn1 2736l1 68400dm1 |
Quadratic twists by: -4 8 -3 5 |