Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480cn |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
678218956800 = 224 · 3 · 52 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13816,619220] |
[a1,a2,a3,a4,a6] |
Generators |
[52:210:1] |
Generators of the group modulo torsion |
j |
71210194441849/165580800 |
j-invariant |
L |
5.2862007794585 |
L(r)(E,1)/r! |
Ω |
0.90911877095117 |
Real period |
R |
1.4536606624918 |
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 |
2310c1 73920fo1 55440ej1 92400eh1 |
Quadratic twists by: -4 8 -3 5 |