Atkin-Lehner |
3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
87285s |
Isogeny class |
Conductor |
87285 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1.3319526660265E+22 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2543179,-5768147113] |
[a1,a2,a3,a4,a6] |
j |
-12288170734201081/89974983433005 |
j-invariant |
L |
5.080083176359 |
L(r)(E,1)/r! |
Ω |
0.052917532249225 |
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 |
3795j4 |
Quadratic twists by: -23 |