Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960cn |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4854090240000 = 212 · 38 · 54 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30612,2058784] |
[a1,a2,a3,a4,a6] |
Generators |
[138:-680:1] |
Generators of the group modulo torsion |
j |
1062456969664/1625625 |
j-invariant |
L |
5.4568171049408 |
L(r)(E,1)/r! |
Ω |
0.7691957017522 |
Real period |
R |
0.88677320552407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999921 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48960cm2 24480g1 16320ba2 |
Quadratic twists by: -4 8 -3 |