Atkin-Lehner |
3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5577c |
Isogeny class |
Conductor |
5577 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-6212103183 = -1 · 32 · 11 · 137 |
Discriminant |
Eigenvalues |
1 3+ 0 0 11+ 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,335,3112] |
[a1,a2,a3,a4,a6] |
Generators |
[86:677:8] |
Generators of the group modulo torsion |
j |
857375/1287 |
j-invariant |
L |
3.837681019001 |
L(r)(E,1)/r! |
Ω |
0.91089784268116 |
Real period |
R |
4.2130750992945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89232ch1 16731l1 61347l1 429a1 |
Quadratic twists by: -4 -3 -11 13 |