Atkin-Lehner |
2- 5- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
67150s |
Isogeny class |
Conductor |
67150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
-3105016000 = -1 · 26 · 53 · 173 · 79 |
Discriminant |
Eigenvalues |
2- 2 5- 2 -2 6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,152,-2519] |
[a1,a2,a3,a4,a6] |
j |
3105745579/24840128 |
j-invariant |
L |
8.462620526041 |
L(r)(E,1)/r! |
Ω |
0.70521837661855 |
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 |
67150m1 |
Quadratic twists by: 5 |