Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
67600cs |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3234816 |
Modular degree for the optimal curve |
Δ |
5.429503678976E+21 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4632008,1469526512] |
[a1,a2,a3,a4,a6] |
Generators |
[-667044381916:-11967739032768:310288733] |
Generators of the group modulo torsion |
j |
16194277/8000 |
j-invariant |
L |
9.0019650392742 |
L(r)(E,1)/r! |
Ω |
0.12031570944297 |
Real period |
R |
18.704882930577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8450i1 13520bg1 67600ct1 |
Quadratic twists by: -4 5 13 |