Atkin-Lehner |
3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
1089c |
Isogeny class |
Conductor |
1089 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
526153617 = 33 · 117 |
Discriminant |
Eigenvalues |
1 3+ -4 2 11- 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-204,259] |
[a1,a2,a3,a4,a6] |
j |
19683/11 |
j-invariant |
L |
1.4249568292341 |
L(r)(E,1)/r! |
Ω |
1.4249568292341 |
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 |
17424bi1 69696r1 1089d1 27225l1 |
Quadratic twists by: -4 8 -3 5 |