Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640bj |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
104350400 = 26 · 52 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1763,28488] |
[a1,a2,a3,a4,a6] |
Generators |
[44:190:1] |
Generators of the group modulo torsion |
j |
9468924964416/1630475 |
j-invariant |
L |
4.9072762584043 |
L(r)(E,1)/r! |
Ω |
1.8263160918152 |
Real period |
R |
2.686980791768 |
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 |
24640bf1 12320l2 123200eb1 |
Quadratic twists by: -4 8 5 |