Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728eu |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-500532909702561792 = -1 · 214 · 35 · 72 · 376 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 0 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,186479,-14007313] |
[a1,a2,a3,a4,a6] |
j |
43771480755468464/30550104351963 |
j-invariant |
L |
6.6456491090171 |
L(r)(E,1)/r! |
Ω |
0.16614122772418 |
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 |
49728g2 12432g2 |
Quadratic twists by: -4 8 |