Atkin-Lehner |
2- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350cy |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-43506600200 = -1 · 23 · 52 · 76 · 432 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 5 2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-720,12667] |
[a1,a2,a3,a4,a6] |
j |
-14016105/14792 |
j-invariant |
L |
12.438617339267 |
L(r)(E,1)/r! |
Ω |
1.0365515125849 |
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 |
105350bm1 2150o1 |
Quadratic twists by: 5 -7 |