Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840bq |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2066841600 = 215 · 3 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 6 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-321,255] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:24:1] |
Generators of the group modulo torsion |
j |
111980168/63075 |
j-invariant |
L |
6.9417363433656 |
L(r)(E,1)/r! |
Ω |
1.2678723774367 |
Real period |
R |
1.3687766345616 |
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 |
27840p2 13920d2 83520cc2 |
Quadratic twists by: -4 8 -3 |