Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080bb |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
85535565650329600 = 222 · 52 · 138 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-937612,-349164816] |
[a1,a2,a3,a4,a6] |
j |
72043225281/67600 |
j-invariant |
L |
1.2274624572651 |
L(r)(E,1)/r! |
Ω |
0.15343280705534 |
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 |
54080cs2 1690a2 4160a2 |
Quadratic twists by: -4 8 13 |