Atkin-Lehner |
3- 11+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
28083d |
Isogeny class |
Conductor |
28083 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-1797564747 = -1 · 3 · 113 · 233 · 37 |
Discriminant |
Eigenvalues |
0 3- 0 -1 11+ 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7793,-267415] |
[a1,a2,a3,a4,a6] |
Generators |
[486230855238:-9675764188097:1170905464] |
Generators of the group modulo torsion |
j |
-52347201421312000/1797564747 |
j-invariant |
L |
5.0980084967746 |
L(r)(E,1)/r! |
Ω |
0.25406091110353 |
Real period |
R |
20.066087595416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84249i2 |
Quadratic twists by: -3 |