Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984bc |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
146880 |
Modular degree for the optimal curve |
Δ |
-2548876474706688 = -1 · 28 · 315 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14373,2522745] |
[a1,a2,a3,a4,a6] |
j |
-534274048000/4146834123 |
j-invariant |
L |
1.5673814252948 |
L(r)(E,1)/r! |
Ω |
0.39184535633458 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9996i1 119952du1 39984dl1 |
Quadratic twists by: -4 -3 -7 |