Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27040j |
Isogeny class |
Conductor |
27040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-494265241600 = -1 · 212 · 52 · 136 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 -4 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225,-33775] |
[a1,a2,a3,a4,a6] |
j |
-64/25 |
j-invariant |
L |
3.3410174759541 |
L(r)(E,1)/r! |
Ω |
0.41762718449432 |
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 |
27040u2 54080s1 160b2 |
Quadratic twists by: -4 8 13 |