Atkin-Lehner |
2- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2200g |
Isogeny class |
Conductor |
2200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-44000000 = -1 · 28 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3 5+ 2 11+ 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100,500] |
[a1,a2,a3,a4,a6] |
j |
-27648/11 |
j-invariant |
L |
3.8035780449781 |
L(r)(E,1)/r! |
Ω |
1.901789022489 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4400e1 17600u1 19800k1 88a1 |
Quadratic twists by: -4 8 -3 5 |