Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680bz |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
-7.587676215E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1963947,-1696657286] |
[a1,a2,a3,a4,a6] |
j |
-561119707443442898/508219482421875 |
j-invariant |
L |
2.9500075669486 |
L(r)(E,1)/r! |
Ω |
0.061458489936903 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42840by3 28560bm3 |
Quadratic twists by: -4 -3 |