Atkin-Lehner |
2- 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850dm |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
900000 |
Modular degree for the optimal curve |
Δ |
-64178730000000000 = -1 · 210 · 35 · 510 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ 0 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,60612,-10725219] |
[a1,a2,a3,a4,a6] |
j |
1050284375/2737152 |
j-invariant |
L |
1.7987947842015 |
L(r)(E,1)/r! |
Ω |
0.17987948305311 |
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 |
80850ct1 80850fp1 |
Quadratic twists by: 5 -7 |