Atkin-Lehner |
2+ 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
23088f |
Isogeny class |
Conductor |
23088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7271057664 = 28 · 310 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 6 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2484,-46656] |
[a1,a2,a3,a4,a6] |
j |
6623893578832/28402569 |
j-invariant |
L |
2.7056344278753 |
L(r)(E,1)/r! |
Ω |
0.67640860696885 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11544j2 92352cm2 69264m2 |
Quadratic twists by: -4 8 -3 |