Atkin-Lehner |
2- 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720m |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4142039040000 = 218 · 32 · 54 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4136,-28560] |
[a1,a2,a3,a4,a6] |
j |
1910778533929/1011240000 |
j-invariant |
L |
1.2638824718257 |
L(r)(E,1)/r! |
Ω |
0.63194123591284 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1590f2 50880dz2 38160cb2 63600cv2 |
Quadratic twists by: -4 8 -3 5 |