Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27040k |
Isogeny class |
Conductor |
27040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-83530825830400 = -1 · 212 · 52 · 138 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 -6 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13745,-755743] |
[a1,a2,a3,a4,a6] |
j |
-14526784/4225 |
j-invariant |
L |
0.86878991341852 |
L(r)(E,1)/r! |
Ω |
0.2171974783544 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27040l2 54080cm1 2080c2 |
Quadratic twists by: -4 8 13 |