Atkin-Lehner |
3- 5- 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123165o |
Isogeny class |
Conductor |
123165 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-2.850484063646E+19 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,176736,255231323] |
[a1,a2,a3,a4,a6] |
j |
837471171646531071/39101290310644975 |
j-invariant |
L |
3.8249271658835 |
L(r)(E,1)/r! |
Ω |
0.15937196935374 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13685a1 |
Quadratic twists by: -3 |