Atkin-Lehner |
2- 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18768g |
Isogeny class |
Conductor |
18768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-93694929666048 = -1 · 224 · 33 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -3 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34048,2473984] |
[a1,a2,a3,a4,a6] |
j |
-1065740176698625/22874738688 |
j-invariant |
L |
1.2027737865911 |
L(r)(E,1)/r! |
Ω |
0.60138689329553 |
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 |
2346k1 75072co1 56304bu1 |
Quadratic twists by: -4 8 -3 |