Atkin-Lehner |
3- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
36663k |
Isogeny class |
Conductor |
36663 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4.1768304445987E+19 |
Discriminant |
Eigenvalues |
2 3- 1 2 11- 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6578467540,205366962924877] |
[a1,a2,a3,a4,a6] |
Generators |
[780578354716884050871497809570:-430856802689238287237232331:16669347033545422519913000] |
Generators of the group modulo torsion |
j |
17772225273611950625003524096/23577118962309 |
j-invariant |
L |
15.680039945737 |
L(r)(E,1)/r! |
Ω |
0.091395935687982 |
Real period |
R |
42.890419108097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109989s2 3333g2 |
Quadratic twists by: -3 -11 |