Atkin-Lehner |
2- 3+ 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
123900q |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
89208000 |
Modular degree for the optimal curve |
Δ |
5.0404666863787E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-757571333,-7262271764463] |
[a1,a2,a3,a4,a6] |
Generators |
[-822694031144631025452206:13859084317074290524757025:69620192904994379432] |
Generators of the group modulo torsion |
j |
480833048283608282890240/50404666863787455933 |
j-invariant |
L |
6.153754256056 |
L(r)(E,1)/r! |
Ω |
0.0289719040041 |
Real period |
R |
35.400700941075 |
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 |
123900bb1 |
Quadratic twists by: 5 |