Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360gd |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-78585800941240320 = -1 · 217 · 3 · 5 · 72 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,87359,9147455] |
[a1,a2,a3,a4,a6] |
j |
562511980386718/599562079935 |
j-invariant |
L |
3.6385985537281 |
L(r)(E,1)/r! |
Ω |
0.22741241672611 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360b5 21840j5 |
Quadratic twists by: -4 8 |