Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960y |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3995136000000 = 215 · 33 · 56 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36492,2681424] |
[a1,a2,a3,a4,a6] |
Generators |
[133:-425:1] |
Generators of the group modulo torsion |
j |
6074394750936/4515625 |
j-invariant |
L |
6.981036478576 |
L(r)(E,1)/r! |
Ω |
0.77582309870754 |
Real period |
R |
0.74985269302917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960x2 24480w2 48960e2 |
Quadratic twists by: -4 8 -3 |