Atkin-Lehner |
2- 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240bu |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-234837792000 = -1 · 28 · 34 · 53 · 72 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-236,23436] |
[a1,a2,a3,a4,a6] |
j |
-5702413264/917335125 |
j-invariant |
L |
1.6206791049177 |
L(r)(E,1)/r! |
Ω |
0.81033955943308 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18060h2 |
Quadratic twists by: -4 |