Atkin-Lehner |
5- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
80465r |
Isogeny class |
Conductor |
80465 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1148928 |
Modular degree for the optimal curve |
Δ |
857519257937890625 = 58 · 72 · 119 · 19 |
Discriminant |
Eigenvalues |
1 -2 5- 7- 11+ 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-303108,-46291819] |
[a1,a2,a3,a4,a6] |
j |
1306109784491/363671875 |
j-invariant |
L |
1.661991408783 |
L(r)(E,1)/r! |
Ω |
0.20774893469347 |
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 |
80465f1 |
Quadratic twists by: -11 |