Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360fv |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
317613899366400 = 214 · 3 · 52 · 76 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-138321,19736079] |
[a1,a2,a3,a4,a6] |
Generators |
[299:2280:1] |
Generators of the group modulo torsion |
j |
17863694078368336/19385613975 |
j-invariant |
L |
6.7703233336425 |
L(r)(E,1)/r! |
Ω |
0.54111462255871 |
Real period |
R |
3.1279524931689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360n4 21840bl4 |
Quadratic twists by: -4 8 |