Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850g |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1589760 |
Modular degree for the optimal curve |
Δ |
-3071983608869683200 = -1 · 223 · 3 · 52 · 79 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ -1 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,71515,84035085] |
[a1,a2,a3,a4,a6] |
j |
13752365416655/1044457193472 |
j-invariant |
L |
1.5458264347108 |
L(r)(E,1)/r! |
Ω |
0.19322830803259 |
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 |
80850ha1 11550x1 |
Quadratic twists by: 5 -7 |