Atkin-Lehner |
2- 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80586be |
Isogeny class |
Conductor |
80586 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-5449705540354944 = -1 · 27 · 310 · 117 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 0 11- 4 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,41359,-1471071] |
[a1,a2,a3,a4,a6] |
j |
6058428767/4219776 |
j-invariant |
L |
6.7819301360176 |
L(r)(E,1)/r! |
Ω |
0.24221179152198 |
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 |
26862c1 7326b1 |
Quadratic twists by: -3 -11 |