Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360cx |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
22118400 |
Modular degree for the optimal curve |
Δ |
4.6558719094787E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46082785,60981869183] |
[a1,a2,a3,a4,a6] |
Generators |
[9011:614400:1] |
Generators of the group modulo torsion |
j |
41285728533151645510969/17760741842188800000 |
j-invariant |
L |
8.1482116776283 |
L(r)(E,1)/r! |
Ω |
0.069680452835088 |
Real period |
R |
2.3387367158848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360fl1 2730c1 |
Quadratic twists by: -4 8 |