Atkin-Lehner |
3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
1785m |
Isogeny class |
Conductor |
1785 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
24990412335 = 3 · 5 · 78 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23170,-1359403] |
[a1,a2,a3,a4,a6] |
j |
1375634265228629281/24990412335 |
j-invariant |
L |
1.5478483669737 |
L(r)(E,1)/r! |
Ω |
0.38696209174343 |
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 |
28560dc6 114240q6 5355d5 8925h5 |
Quadratic twists by: -4 8 -3 5 |