Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360dn |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
15913020169912320 = 219 · 34 · 5 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73185,-4632705] |
[a1,a2,a3,a4,a6] |
j |
165369706597369/60703354530 |
j-invariant |
L |
4.7873236129315 |
L(r)(E,1)/r! |
Ω |
0.29920772683127 |
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 |
87360fa3 2730f3 |
Quadratic twists by: -4 8 |