Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56628j |
Isogeny class |
Conductor |
56628 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7464960 |
Modular degree for the optimal curve |
Δ |
2.1281470535186E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103643760,-400017032327] |
[a1,a2,a3,a4,a6] |
j |
5958673237147648000/102990700534293 |
j-invariant |
L |
1.1367904139743 |
L(r)(E,1)/r! |
Ω |
0.047366267141731 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18876i1 5148e1 |
Quadratic twists by: -3 -11 |