Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
5808w |
Isogeny class |
Conductor |
5808 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
22176 |
Modular degree for the optimal curve |
Δ |
-164627620608 = -1 · 28 · 3 · 118 |
Discriminant |
Eigenvalues |
2- 3+ -4 5 11- -2 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24845,-1499199] |
[a1,a2,a3,a4,a6] |
Generators |
[565:12826:1] |
Generators of the group modulo torsion |
j |
-30908416/3 |
j-invariant |
L |
2.9607248600783 |
L(r)(E,1)/r! |
Ω |
0.19013226551296 |
Real period |
R |
2.5953203787641 |
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 |
1452h1 23232dv1 17424cg1 5808x1 |
Quadratic twists by: -4 8 -3 -11 |