Atkin-Lehner |
2+ 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5166j |
Isogeny class |
Conductor |
5166 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-21963393648 = -1 · 24 · 314 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-918,-12636] |
[a1,a2,a3,a4,a6] |
j |
-117433042273/30128112 |
j-invariant |
L |
0.85577688959088 |
L(r)(E,1)/r! |
Ω |
0.42788844479544 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41328ca1 1722o1 129150da1 36162bf1 |
Quadratic twists by: -4 -3 5 -7 |