Atkin-Lehner |
2+ 3- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
89082w |
Isogeny class |
Conductor |
89082 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
-1856572874594046 = -1 · 2 · 313 · 78 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -6 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12339,-2007909] |
[a1,a2,a3,a4,a6] |
j |
2422300607/21646926 |
j-invariant |
L |
0.92841212936809 |
L(r)(E,1)/r! |
Ω |
0.2321030496808 |
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 |
29694l1 12726e1 |
Quadratic twists by: -3 -7 |