Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2730v |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
-2.0235220197806E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33200,216426017] |
[a1,a2,a3,a4,a6] |
j |
-4047051964543660801/20235220197806250000 |
j-invariant |
L |
2.7727274484007 |
L(r)(E,1)/r! |
Ω |
0.17329546552505 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
21840cl5 87360bx5 8190l6 13650bd6 |
Quadratic twists by: -4 8 -3 5 |