Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360db |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
3.6702622154427E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1453985,608138943] |
[a1,a2,a3,a4,a6] |
j |
1296772724742600169/140009392373760 |
j-invariant |
L |
4.7844546166504 |
L(r)(E,1)/r! |
Ω |
0.19935227193776 |
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 |
87360fr1 2730a1 |
Quadratic twists by: -4 8 |