Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360hg |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
33552546693120 = 215 · 38 · 5 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8065,4895] |
[a1,a2,a3,a4,a6] |
j |
1770682685192/1023942465 |
j-invariant |
L |
4.4430863068348 |
L(r)(E,1)/r! |
Ω |
0.55538579304471 |
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 |
87360fg4 43680bf3 |
Quadratic twists by: -4 8 |