Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840db |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2066841600 = -1 · 215 · 3 · 52 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-2175] |
[a1,a2,a3,a4,a6] |
Generators |
[16:25:1] |
Generators of the group modulo torsion |
j |
-941192/63075 |
j-invariant |
L |
4.1690508484105 |
L(r)(E,1)/r! |
Ω |
0.64726179908928 |
Real period |
R |
3.2205290458022 |
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 |
27840ec2 13920bb2 83520fl2 |
Quadratic twists by: -4 8 -3 |