Atkin-Lehner |
3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
1089d |
Isogeny class |
Conductor |
1089 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
383565986793 = 39 · 117 |
Discriminant |
Eigenvalues |
-1 3+ 4 2 11- 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1838,-5156] |
[a1,a2,a3,a4,a6] |
j |
19683/11 |
j-invariant |
L |
1.5661602678489 |
L(r)(E,1)/r! |
Ω |
0.78308013392443 |
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 |
17424bh1 69696s1 1089c1 27225h1 |
Quadratic twists by: -4 8 -3 5 |