Atkin-Lehner |
2+ 3- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810x |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7.9324602222096E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-224436465,-1293395080419] |
[a1,a2,a3,a4,a6] |
Generators |
[-9324464546:-16138163695:1092727] |
Generators of the group modulo torsion |
j |
1715048650090766397245786641/1088128974240000000000 |
j-invariant |
L |
3.8096555620266 |
L(r)(E,1)/r! |
Ω |
0.039007016932144 |
Real period |
R |
12.208237916106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004511 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39270cu2 |
Quadratic twists by: -3 |