Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960ee |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-34517975040000 = -1 · 218 · 36 · 54 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2028,-284848] |
[a1,a2,a3,a4,a6] |
Generators |
[3362:68391:8] |
Generators of the group modulo torsion |
j |
-4826809/180625 |
j-invariant |
L |
5.7193788603595 |
L(r)(E,1)/r! |
Ω |
0.28530272935207 |
Real period |
R |
5.0116755571747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960bp2 12240bx2 5440x2 |
Quadratic twists by: -4 8 -3 |