Atkin-Lehner |
2+ 3- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2208d |
Isogeny class |
Conductor |
2208 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-3724440564672 = -1 · 26 · 314 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -2 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2598,-76752] |
[a1,a2,a3,a4,a6] |
j |
30289632400448/58194383823 |
j-invariant |
L |
2.8782857833846 |
L(r)(E,1)/r! |
Ω |
0.41118368334066 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2208h1 4416f1 6624i1 55200bs1 |
Quadratic twists by: -4 8 -3 5 |