Atkin-Lehner |
2- 5+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
66950be |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
414 |
Product of Tamagawa factors cp |
deg |
13565952 |
Modular degree for the optimal curve |
Δ |
1.4316515300724E+23 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 -3 13- -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-72069913,-234794922183] |
[a1,a2,a3,a4,a6] |
Generators |
[-4774:24019:1] |
Generators of the group modulo torsion |
j |
2649510713007509894907337/9162569792463306752 |
j-invariant |
L |
4.8944279638303 |
L(r)(E,1)/r! |
Ω |
0.051826438595341 |
Real period |
R |
0.22811310382242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997133 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2678a1 |
Quadratic twists by: 5 |