Atkin-Lehner |
2+ 3- 5- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810cb |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
5184 |
Product of Tamagawa factors cp |
Δ |
1.6408906016904E+31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8188130214,-208195841225880] |
[a1,a2,a3,a4,a6] |
Generators |
[-50924:-8733288:1] |
Generators of the group modulo torsion |
j |
83281857964138435657921635436129/22508787403160157757710937500 |
j-invariant |
L |
6.0750615208067 |
L(r)(E,1)/r! |
Ω |
0.01619217300002 |
Real period |
R |
2.6054518883325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998835486 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
39270cl4 |
Quadratic twists by: -3 |