Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27040b |
Isogeny class |
Conductor |
27040 |
Conductor |
∏ cp |
4 |
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 |
[-394325469525355266723650:-2010796615124625687078:892298437348571421875] |
Generators of the group modulo torsion |
j |
9001508089608/325 |
j-invariant |
L |
5.9921605159477 |
L(r)(E,1)/r! |
Ω |
0.17255971668395 |
Real period |
R |
34.725141134316 |
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 |
27040c4 54080cu4 2080f2 |
Quadratic twists by: -4 8 13 |