Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960cm |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4040156388556800 = -1 · 215 · 310 · 52 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21612,-3293584] |
[a1,a2,a3,a4,a6] |
Generators |
[3026:52245:8] |
Generators of the group modulo torsion |
j |
-46733803208/169130025 |
j-invariant |
L |
6.5992533542733 |
L(r)(E,1)/r! |
Ω |
0.18048309979491 |
Real period |
R |
4.5705479915734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960cn3 24480bb2 16320f4 |
Quadratic twists by: -4 8 -3 |