Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920dm |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
13660416000000 = 214 · 32 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22065,-1256337] |
[a1,a2,a3,a4,a6] |
j |
72516235474384/833765625 |
j-invariant |
L |
4.7038664769141 |
L(r)(E,1)/r! |
Ω |
0.3919888717519 |
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 |
73920fn2 9240c2 |
Quadratic twists by: -4 8 |