Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360dm |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
2.0678632281572E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 13+ 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4811745,4001631615] |
[a1,a2,a3,a4,a6] |
j |
46999332667159819129/788827220213760 |
j-invariant |
L |
3.567108146137 |
L(r)(E,1)/r! |
Ω |
0.17835540560245 |
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 |
87360ex1 2730e1 |
Quadratic twists by: -4 8 |