Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360bw |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
21539906519040000 = 220 · 34 · 54 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-245441,-46348641] |
[a1,a2,a3,a4,a6] |
j |
6237734630203441/82168222500 |
j-invariant |
L |
1.7173102122837 |
L(r)(E,1)/r! |
Ω |
0.21466378341323 |
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 |
87360eq4 2730w3 |
Quadratic twists by: -4 8 |