Atkin-Lehner |
2- 3- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87906bj |
Isogeny class |
Conductor |
87906 |
Conductor |
∏ cp |
1560 |
Product of Tamagawa factors cp |
deg |
54163200 |
Modular degree for the optimal curve |
Δ |
-8.3105822284841E+25 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -3 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-976997134,11762162980868] |
[a1,a2,a3,a4,a6] |
Generators |
[29012:2784962:1] |
Generators of the group modulo torsion |
j |
-17890367474504440775759137/14416078245344575488 |
j-invariant |
L |
9.4943355640099 |
L(r)(E,1)/r! |
Ω |
0.06030395864517 |
Real period |
R |
0.10092393060022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87906bf1 |
Quadratic twists by: -7 |