Atkin-Lehner |
2- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36800di |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-184000 = -1 · 26 · 53 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- 1 0 2 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73,-267] |
[a1,a2,a3,a4,a6] |
Generators |
[12:27:1] |
Generators of the group modulo torsion |
j |
-5451776/23 |
j-invariant |
L |
4.6478536076354 |
L(r)(E,1)/r! |
Ω |
0.8155198992102 |
Real period |
R |
2.8496261171172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800br1 9200bf1 36800do1 |
Quadratic twists by: -4 8 5 |