Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8670v |
Isogeny class |
Conductor |
8670 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.5154004390346E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,884334,498400200] |
[a1,a2,a3,a4,a6] |
Generators |
[356:29120:1] |
Generators of the group modulo torsion |
j |
3168685387909439/6278181696900 |
j-invariant |
L |
6.9911882706549 |
L(r)(E,1)/r! |
Ω |
0.12617838183495 |
Real period |
R |
6.9258974566261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69360cb5 26010r5 43350b5 510e6 |
Quadratic twists by: -4 -3 5 17 |