Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16698r |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3.5484796609592E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6030196780,-180238079429014] |
[a1,a2,a3,a4,a6] |
Generators |
[164917313909287831134283704331766667964572785729170528923436732533250815425779976292:55919292405981985696835075277884096383907513700378510668485337373831450416068393547866:1030538432592531386916818032116284104460718201952556443464138652585782137634811] |
Generators of the group modulo torsion |
j |
13688695234222145601259673233/2003024259937536 |
j-invariant |
L |
4.5224094264569 |
L(r)(E,1)/r! |
Ω |
0.017132339959421 |
Real period |
R |
131.9845811246 |
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 |
50094cj4 1518s4 |
Quadratic twists by: -3 -11 |