Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27040i |
Isogeny class |
Conductor |
27040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2088270645760000 = -1 · 212 · 54 · 138 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72332,-7803744] |
[a1,a2,a3,a4,a6] |
j |
-2116874304/105625 |
j-invariant |
L |
2.3221803821006 |
L(r)(E,1)/r! |
Ω |
0.14513627388128 |
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 |
27040s2 54080d1 2080b2 |
Quadratic twists by: -4 8 13 |