Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360fk |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-1282450391040000 = -1 · 230 · 3 · 54 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31585,2774017] |
[a1,a2,a3,a4,a6] |
j |
-13293525831769/4892160000 |
j-invariant |
L |
3.6415048735322 |
L(r)(E,1)/r! |
Ω |
0.45518811655128 |
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 |
87360cw1 21840ca1 |
Quadratic twists by: -4 8 |