Atkin-Lehner |
2- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44206k |
Isogeny class |
Conductor |
44206 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
200880 |
Modular degree for the optimal curve |
Δ |
-156931950889144 = -1 · 23 · 23 · 318 |
Discriminant |
Eigenvalues |
2- -2 3 -4 0 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,10551,-434159] |
[a1,a2,a3,a4,a6] |
j |
152303/184 |
j-invariant |
L |
2.7824159506865 |
L(r)(E,1)/r! |
Ω |
0.30915732785862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
44206t1 |
Quadratic twists by: -31 |