Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960dm |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-1636407705600000 = -1 · 226 · 33 · 55 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4908,-1950768] |
[a1,a2,a3,a4,a6] |
j |
-1847284083/231200000 |
j-invariant |
L |
3.3653043420417 |
L(r)(E,1)/r! |
Ω |
0.21033152141773 |
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 |
48960i1 12240bi1 48960dy1 |
Quadratic twists by: -4 8 -3 |