Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
87840bv |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
24413481000000 = 26 · 38 · 56 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45777,3762304] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:2700:1] |
Generators of the group modulo torsion |
j |
227383105214656/523265625 |
j-invariant |
L |
5.7844431027024 |
L(r)(E,1)/r! |
Ω |
0.67437905739043 |
Real period |
R |
1.429572641531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998298 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87840bt1 29280n1 |
Quadratic twists by: -4 -3 |