Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120gl |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-4142512657364400 = -1 · 24 · 312 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45012,-4806241] |
[a1,a2,a3,a4,a6] |
Generators |
[9471:128260:27] |
Generators of the group modulo torsion |
j |
-488095744/200475 |
j-invariant |
L |
5.8739367770927 |
L(r)(E,1)/r! |
Ω |
0.16064472716064 |
Real period |
R |
4.5705956863155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21780bd1 29040ci1 7920bh1 |
Quadratic twists by: -4 -3 -11 |