Atkin-Lehner |
2- 3- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8142j |
Isogeny class |
Conductor |
8142 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
35280 |
Modular degree for the optimal curve |
Δ |
-56827902678912 = -1 · 27 · 33 · 23 · 595 |
Discriminant |
Eigenvalues |
2- 3- 4 0 -3 5 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4189,-347007] |
[a1,a2,a3,a4,a6] |
j |
8129209453080911/56827902678912 |
j-invariant |
L |
6.5603745862728 |
L(r)(E,1)/r! |
Ω |
0.31239878982251 |
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 |
65136l1 24426e1 |
Quadratic twists by: -4 -3 |