Atkin-Lehner |
2+ 3+ 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650o |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-65647411200000000 = -1 · 224 · 33 · 58 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 5 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-830825,291397125] |
[a1,a2,a3,a4,a6] |
j |
-162365278905918265/168057372672 |
j-invariant |
L |
2.0810053842869 |
L(r)(E,1)/r! |
Ω |
0.3468342307324 |
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 |
55650dj1 |
Quadratic twists by: 5 |