Atkin-Lehner |
3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
50715bl |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24768 |
Modular degree for the optimal curve |
Δ |
-201287835 = -1 · 36 · 5 · 74 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ 2 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-147,-968] |
[a1,a2,a3,a4,a6] |
j |
-200704/115 |
j-invariant |
L |
1.3357702709453 |
L(r)(E,1)/r! |
Ω |
0.66788513529119 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5635a1 50715be1 |
Quadratic twists by: -3 -7 |