Atkin-Lehner |
2- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55660w |
Isogeny class |
Conductor |
55660 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
134640 |
Modular degree for the optimal curve |
Δ |
-34787500000000 = -1 · 28 · 511 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- -3 11- 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8155,11057] |
[a1,a2,a3,a4,a6] |
j |
1936051994624/1123046875 |
j-invariant |
L |
4.3191733989486 |
L(r)(E,1)/r! |
Ω |
0.39265212717871 |
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 |
55660u1 |
Quadratic twists by: -11 |