Atkin-Lehner |
2- 3+ 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810cr |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
9728 |
Product of Tamagawa factors cp |
Δ |
-7.9973671863647E+39 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4439679636662,-5610416463631066939] |
[a1,a2,a3,a4,a6] |
j |
-358438661418663089104007061768877945764003/296198784680175781250000000000000000000 |
j-invariant |
L |
3.8638680521552 |
L(r)(E,1)/r! |
Ω |
0.0015887618456348 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810c2 |
Quadratic twists by: -3 |