Atkin-Lehner |
2+ 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
84960m |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-13763520000 = -1 · 29 · 36 · 54 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 3 5 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,5686] |
[a1,a2,a3,a4,a6] |
Generators |
[17:90:1] |
Generators of the group modulo torsion |
j |
-941192/36875 |
j-invariant |
L |
7.8467146535289 |
L(r)(E,1)/r! |
Ω |
1.0440487553437 |
Real period |
R |
0.46972870128436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983772 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84960s1 9440c1 |
Quadratic twists by: -4 -3 |