Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
4620l |
Isogeny class |
Conductor |
4620 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-157172400 = -1 · 24 · 36 · 52 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,135,0] |
[a1,a2,a3,a4,a6] |
Generators |
[3:21:1] |
Generators of the group modulo torsion |
j |
16880451584/9823275 |
j-invariant |
L |
4.5570852214264 |
L(r)(E,1)/r! |
Ω |
1.077410773112 |
Real period |
R |
0.23498131586255 |
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 |
18480cg1 73920a1 13860i1 23100j1 |
Quadratic twists by: -4 8 -3 5 |