Atkin-Lehner |
2+ 3- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810x |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9.7677792520752E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-267619185,-760511679075] |
[a1,a2,a3,a4,a6] |
Generators |
[28923:3947073:1] |
Generators of the group modulo torsion |
j |
2907688749361241053361222161/1339887414550781250000000 |
j-invariant |
L |
3.8096555620266 |
L(r)(E,1)/r! |
Ω |
0.039007016932144 |
Real period |
R |
6.1041189580528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004511 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270cu3 |
Quadratic twists by: -3 |