Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
80100p |
Isogeny class |
Conductor |
80100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-175178700000000 = -1 · 28 · 39 · 58 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13200,254500] |
[a1,a2,a3,a4,a6] |
Generators |
[80:-1350:1] |
Generators of the group modulo torsion |
j |
87228416/60075 |
j-invariant |
L |
5.9844547507534 |
L(r)(E,1)/r! |
Ω |
0.36046291832747 |
Real period |
R |
0.69175570807003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26700j1 16020e1 |
Quadratic twists by: -3 5 |