Atkin-Lehner |
2- 3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48360z |
Isogeny class |
Conductor |
48360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
3319356119040 = 211 · 33 · 5 · 13 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-75200,7911840] |
[a1,a2,a3,a4,a6] |
j |
22964291805513602/1620779355 |
j-invariant |
L |
4.5333464091557 |
L(r)(E,1)/r! |
Ω |
0.75555773492202 |
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 |
96720k4 |
Quadratic twists by: -4 |