Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360cy |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
262144 |
Modular degree for the optimal curve |
Δ |
497281880309760 = 214 · 34 · 5 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19825,50735] |
[a1,a2,a3,a4,a6] |
j |
52597519950544/30351677265 |
j-invariant |
L |
3.5611671490151 |
L(r)(E,1)/r! |
Ω |
0.44514589293484 |
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 |
87360fn1 10920a1 |
Quadratic twists by: -4 8 |