Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
8470bc |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-355861465525720 = -1 · 23 · 5 · 73 · 1110 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11- -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-366330,85315132] |
[a1,a2,a3,a4,a6] |
j |
-209611155721/13720 |
j-invariant |
L |
1.5327031249018 |
L(r)(E,1)/r! |
Ω |
0.51090104163392 |
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 |
67760ck2 76230r2 42350z2 59290dh2 |
Quadratic twists by: -4 -3 5 -7 |