Atkin-Lehner |
2+ 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280u |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-3.115699220238E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 -1 4 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1221612,-584982864] |
[a1,a2,a3,a4,a6] |
j |
-28485240894685827/4402018257760 |
j-invariant |
L |
2.2782629913479 |
L(r)(E,1)/r! |
Ω |
0.071195714279424 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280dy1 2790p1 89280i1 |
Quadratic twists by: -4 8 -3 |