Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840g |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-31173672960000 = -1 · 218 · 38 · 54 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7199,127585] |
[a1,a2,a3,a4,a6] |
Generators |
[14241:331100:27] |
Generators of the group modulo torsion |
j |
157376536199/118918125 |
j-invariant |
L |
5.2686443092885 |
L(r)(E,1)/r! |
Ω |
0.42178909339466 |
Real period |
R |
6.2455909740164 |
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 |
27840dm3 435c4 83520df3 |
Quadratic twists by: -4 8 -3 |