Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680ey |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-371641284000000 = -1 · 28 · 38 · 56 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14793,-617006] |
[a1,a2,a3,a4,a6] |
j |
1918337383856/1991390625 |
j-invariant |
L |
3.4905625821593 |
L(r)(E,1)/r! |
Ω |
0.29088021493373 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21420x2 28560dj2 |
Quadratic twists by: -4 -3 |