Atkin-Lehner |
2- 3- 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810dl |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
1344 |
Product of Tamagawa factors cp |
Δ |
2.4868810875281E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-88955528,-216118169013] |
[a1,a2,a3,a4,a6] |
Generators |
[-6027:320913:1] |
Generators of the group modulo torsion |
j |
106786168592175009377891641/34113595164994089360000 |
j-invariant |
L |
8.227823563418 |
L(r)(E,1)/r! |
Ω |
0.050400988427637 |
Real period |
R |
0.48585495668397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032621 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270o3 |
Quadratic twists by: -3 |