Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536x |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6591298387968 = 214 · 32 · 73 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 2 -6 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5873,-123441] |
[a1,a2,a3,a4,a6] |
j |
1367595682000/402300927 |
j-invariant |
L |
1.1153560240438 |
L(r)(E,1)/r! |
Ω |
0.55767801202185 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536cj2 1596b2 76608z2 |
Quadratic twists by: -4 8 -3 |