Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22542z |
Isogeny class |
Conductor |
22542 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
137088 |
Modular degree for the optimal curve |
Δ |
-1195407649634406 = -1 · 2 · 3 · 134 · 178 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 -5 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-50870,4714794] |
[a1,a2,a3,a4,a6] |
j |
-2086979041/171366 |
j-invariant |
L |
2.8599936667059 |
L(r)(E,1)/r! |
Ω |
0.47666561111765 |
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 |
67626o1 22542t1 |
Quadratic twists by: -3 17 |