Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120bj |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
481908610560000 = 212 · 3 · 54 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40785,3002817] |
[a1,a2,a3,a4,a6] |
Generators |
[149:460:1] |
Generators of the group modulo torsion |
j |
379503424/24375 |
j-invariant |
L |
5.2383349051911 |
L(r)(E,1)/r! |
Ω |
0.51553179966648 |
Real period |
R |
2.5402578993577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986629 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81120bv3 6240c3 |
Quadratic twists by: -4 13 |