Atkin-Lehner |
2- 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
24120s |
Isogeny class |
Conductor |
24120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-97686000 = -1 · 24 · 36 · 53 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -2 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63,-513] |
[a1,a2,a3,a4,a6] |
j |
-2370816/8375 |
j-invariant |
L |
1.555179955549 |
L(r)(E,1)/r! |
Ω |
0.77758997777451 |
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 |
48240h1 2680b1 120600i1 |
Quadratic twists by: -4 -3 5 |