Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
80586o |
Isogeny class |
Conductor |
80586 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
170132994837955908 = 22 · 313 · 117 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- 6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-518931,-142379231] |
[a1,a2,a3,a4,a6] |
j |
11966561852617/131736132 |
j-invariant |
L |
1.4239704281283 |
L(r)(E,1)/r! |
Ω |
0.17799630727589 |
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 |
26862n1 7326h1 |
Quadratic twists by: -3 -11 |