Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240gh |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
102359040000 = 216 · 3 · 54 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133280001,-592192654815] |
[a1,a2,a3,a4,a6] |
j |
3995202039648020399520004/1561875 |
j-invariant |
L |
2.8437296734959 |
L(r)(E,1)/r! |
Ω |
0.044433273264448 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240dh4 28560ca4 |
Quadratic twists by: -4 8 |