Atkin-Lehner |
2- 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10608n |
Isogeny class |
Conductor |
10608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-84791279378497536 = -1 · 219 · 316 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,104816,5032384] |
[a1,a2,a3,a4,a6] |
j |
31091549545392623/20700995942016 |
j-invariant |
L |
1.7128897282165 |
L(r)(E,1)/r! |
Ω |
0.21411121602706 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1326e2 42432cj2 31824bf2 |
Quadratic twists by: -4 8 -3 |