Atkin-Lehner |
2- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28336l |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
6.0390321301595E+20 |
Discriminant |
Eigenvalues |
2- 1 1 7+ 11+ -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4138960,-3019068524] |
[a1,a2,a3,a4,a6] |
j |
1914421473306136725841/147437307865222144 |
j-invariant |
L |
1.9145280782975 |
L(r)(E,1)/r! |
Ω |
0.1063626710165 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542r1 113344dc1 |
Quadratic twists by: -4 8 |