Atkin-Lehner |
2- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
87232v |
Isogeny class |
Conductor |
87232 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
63744 |
Modular degree for the optimal curve |
Δ |
-3083127808 = -1 · 210 · 29 · 473 |
Discriminant |
Eigenvalues |
2- -2 -4 1 3 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45,2659] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:47:1] [-1:52:1] |
Generators of the group modulo torsion |
j |
-10061824/3010867 |
j-invariant |
L |
6.951639786367 |
L(r)(E,1)/r! |
Ω |
1.1565016482775 |
Real period |
R |
1.0018201294626 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000519 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87232h1 21808a1 |
Quadratic twists by: -4 8 |