Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27040c |
Isogeny class |
Conductor |
27040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
803181017600 = 29 · 52 · 137 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-585923,172627078] |
[a1,a2,a3,a4,a6] |
Generators |
[273:5746:1] |
Generators of the group modulo torsion |
j |
9001508089608/325 |
j-invariant |
L |
3.0989565126841 |
L(r)(E,1)/r! |
Ω |
0.66035411918462 |
Real period |
R |
2.3464353614622 |
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 |
27040b4 54080cv4 2080e3 |
Quadratic twists by: -4 8 13 |