Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360dj |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-3.804143616E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-645505,-357854497] |
[a1,a2,a3,a4,a6] |
j |
-113470585236878689/145116562500000 |
j-invariant |
L |
4.8217207629431 |
L(r)(E,1)/r! |
Ω |
0.080362012647254 |
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 |
87360ez2 2730t2 |
Quadratic twists by: -4 8 |