Atkin-Lehner |
7- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
50813c |
Isogeny class |
Conductor |
50813 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-1.3005183131267E+19 |
Discriminant |
Eigenvalues |
-1 -3 -1 7- -3 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,534507,-86627712] |
[a1,a2,a3,a4,a6] |
j |
143547761786690799/110542232668931 |
j-invariant |
L |
0.50021531348495 |
L(r)(E,1)/r! |
Ω |
0.12505382802844 |
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 |
7259b1 |
Quadratic twists by: -7 |