Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
87840bz |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
21700872000 = 26 · 36 · 53 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1317,16976] |
[a1,a2,a3,a4,a6] |
Generators |
[7:90:1] |
Generators of the group modulo torsion |
j |
5414689216/465125 |
j-invariant |
L |
6.4836767680228 |
L(r)(E,1)/r! |
Ω |
1.1787587528229 |
Real period |
R |
0.91673787569715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967446 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87840by1 9760c1 |
Quadratic twists by: -4 -3 |