Atkin-Lehner |
2- 3+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240bf |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-202984393893120 = -1 · 28 · 36 · 5 · 76 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14524,-131364] |
[a1,a2,a3,a4,a6] |
j |
1323465319334576/792907788645 |
j-invariant |
L |
0.65741116413065 |
L(r)(E,1)/r! |
Ω |
0.32870558455642 |
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 |
18060k2 |
Quadratic twists by: -4 |