Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850fs |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
604244822816250000 = 24 · 32 · 57 · 79 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1154588,475953792] |
[a1,a2,a3,a4,a6] |
j |
269961894847/958320 |
j-invariant |
L |
4.6540345196394 |
L(r)(E,1)/r! |
Ω |
0.29087715955289 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170c1 80850dv1 |
Quadratic twists by: 5 -7 |