Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
5040y |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
6193152000 = 218 · 33 · 53 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-747,-6886] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:30:1] |
Generators of the group modulo torsion |
j |
416832723/56000 |
j-invariant |
L |
4.0131730255527 |
L(r)(E,1)/r! |
Ω |
0.92132502679977 |
Real period |
R |
0.72597851080715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
630h1 20160cr1 5040u3 25200cx1 |
Quadratic twists by: -4 8 -3 5 |