Atkin-Lehner |
2+ 3- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87984i |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-1368327168 = -1 · 210 · 37 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 3 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69,-1766] |
[a1,a2,a3,a4,a6] |
Generators |
[11:18:1] |
Generators of the group modulo torsion |
j |
48668/1833 |
j-invariant |
L |
5.5075011218545 |
L(r)(E,1)/r! |
Ω |
0.73143189642701 |
Real period |
R |
0.94121905775638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43992l1 29328g1 |
Quadratic twists by: -4 -3 |