Atkin-Lehner |
2- 3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129948x |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
2667168 |
Modular degree for the optimal curve |
Δ |
-93013726701168 = -1 · 24 · 33 · 78 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11740318,15479543225] |
[a1,a2,a3,a4,a6] |
j |
-1940255966690272000/1008423 |
j-invariant |
L |
3.3044945209325 |
L(r)(E,1)/r! |
Ω |
0.36716634067524 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
129948j1 |
Quadratic twists by: -7 |