Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840br |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
24 |
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 |
[-39:24:1] |
Generators of the group modulo torsion |
j |
226669409284/2642625 |
j-invariant |
L |
5.922982716053 |
L(r)(E,1)/r! |
Ω |
0.56475470037244 |
Real period |
R |
1.7479514298116 |
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 |
27840cp1 3480a1 83520cb1 |
Quadratic twists by: -4 8 -3 |