Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28392j |
Isogeny class |
Conductor |
28392 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
40612896345805056 = 28 · 34 · 74 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108892,-9899200] |
[a1,a2,a3,a4,a6] |
j |
115562131792/32867289 |
j-invariant |
L |
4.2959471997376 |
L(r)(E,1)/r! |
Ω |
0.26849669998366 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56784e2 85176bv2 2184m2 |
Quadratic twists by: -4 -3 13 |