Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120fj |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-39743447040 = -1 · 213 · 36 · 5 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 11+ 4 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,693,-6534] |
[a1,a2,a3,a4,a6] |
j |
9261/10 |
j-invariant |
L |
4.970671090836 |
L(r)(E,1)/r! |
Ω |
0.62133390155092 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10890by1 9680n1 87120fk1 |
Quadratic twists by: -4 -3 -11 |