Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840cp |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
173187072000 = 216 · 36 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 6 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5121,141345] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:432:1] |
Generators of the group modulo torsion |
j |
226669409284/2642625 |
j-invariant |
L |
3.9726283111605 |
L(r)(E,1)/r! |
Ω |
1.0202439149454 |
Real period |
R |
1.9469012522232 |
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 |
27840br1 6960q1 83520fw1 |
Quadratic twists by: -4 8 -3 |