Atkin-Lehner |
2- 5- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
17710m |
Isogeny class |
Conductor |
17710 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
Δ |
1429324759940000 = 25 · 54 · 710 · 11 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11- -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34425,-1656743] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:755:1] |
Generators of the group modulo torsion |
j |
4511763717106237201/1429324759940000 |
j-invariant |
L |
5.6095811337523 |
L(r)(E,1)/r! |
Ω |
0.35924586844361 |
Real period |
R |
0.31229760041808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88550m2 123970bg2 |
Quadratic twists by: 5 -7 |