Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450dy |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-154974174311250000 = -1 · 24 · 314 · 57 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,34870,-18782503] |
[a1,a2,a3,a4,a6] |
j |
411664745519/13605414480 |
j-invariant |
L |
5.0009867542025 |
L(r)(E,1)/r! |
Ω |
0.15628083659786 |
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 |
24150z2 14490q2 |
Quadratic twists by: -3 5 |