Atkin-Lehner |
5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
1075d |
Isogeny class |
Conductor |
1075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
-671875 = -1 · 56 · 43 |
Discriminant |
Eigenvalues |
2 2 5+ 0 3 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8,43] |
[a1,a2,a3,a4,a6] |
j |
-4096/43 |
j-invariant |
L |
4.8913446147396 |
L(r)(E,1)/r! |
Ω |
2.4456723073698 |
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 |
17200o1 68800n1 9675q1 43a1 |
Quadratic twists by: -4 8 -3 5 |