Atkin-Lehner |
2- 3- 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
68724k |
Isogeny class |
Conductor |
68724 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-512131248 = -1 · 24 · 36 · 232 · 83 |
Discriminant |
Eigenvalues |
2- 3- -4 1 1 0 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,168,-695] |
[a1,a2,a3,a4,a6] |
Generators |
[6:23:1] |
Generators of the group modulo torsion |
j |
44957696/43907 |
j-invariant |
L |
4.0469809832533 |
L(r)(E,1)/r! |
Ω |
0.8999497767168 |
Real period |
R |
0.7494827466933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7636d1 |
Quadratic twists by: -3 |