Atkin-Lehner |
5- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
5665a |
Isogeny class |
Conductor |
5665 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-24341796875 = -1 · 59 · 112 · 103 |
Discriminant |
Eigenvalues |
1 1 5- 4 11- -4 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1988,-35087] |
[a1,a2,a3,a4,a6] |
Generators |
[79:510:1] |
Generators of the group modulo torsion |
j |
-868277967766201/24341796875 |
j-invariant |
L |
6.1095765996642 |
L(r)(E,1)/r! |
Ω |
0.35692235475755 |
Real period |
R |
0.95096571475365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90640p1 50985e1 28325d1 62315e1 |
Quadratic twists by: -4 -3 5 -11 |