Atkin-Lehner |
2+ 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160br |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
619438080000 = 216 · 3 · 54 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-159905,-24665025] |
[a1,a2,a3,a4,a6] |
j |
6899738457608356/9451875 |
j-invariant |
L |
3.8199161990989 |
L(r)(E,1)/r! |
Ω |
0.23874476258572 |
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 |
68160cl2 8520d2 |
Quadratic twists by: -4 8 |