Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33800bb |
Isogeny class |
Conductor |
33800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-7.168641576148E+20 |
Discriminant |
Eigenvalues |
2- 2 5- 3 -1 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1147792,-1198459588] |
[a1,a2,a3,a4,a6] |
Generators |
[339236741058:-14775560494084:206425071] |
Generators of the group modulo torsion |
j |
86614940/371293 |
j-invariant |
L |
8.9373720714105 |
L(r)(E,1)/r! |
Ω |
0.08118909316661 |
Real period |
R |
13.760118081794 |
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 |
67600bb1 33800i1 2600g1 |
Quadratic twists by: -4 5 13 |