Atkin-Lehner |
2- 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22542t |
Isogeny class |
Conductor |
22542 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-49524774 = -1 · 2 · 3 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -1 4 5 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-176,887] |
[a1,a2,a3,a4,a6] |
j |
-2086979041/171366 |
j-invariant |
L |
3.9306853254753 |
L(r)(E,1)/r! |
Ω |
1.9653426627377 |
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 |
67626f1 22542z1 |
Quadratic twists by: -3 17 |