Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360bo |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
96280744600535040 = 221 · 38 · 5 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-687265,-218560223] |
[a1,a2,a3,a4,a6] |
j |
136948444639063849/367281893160 |
j-invariant |
L |
2.6534347500735 |
L(r)(E,1)/r! |
Ω |
0.16583967888073 |
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 |
87360gx4 2730m3 |
Quadratic twists by: -4 8 |