Atkin-Lehner |
2- 3- 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
99540w |
Isogeny class |
Conductor |
99540 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1363968 |
Modular degree for the optimal curve |
Δ |
-31473662036266800 = -1 · 24 · 37 · 52 · 78 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-568812,-165341059] |
[a1,a2,a3,a4,a6] |
Generators |
[7507:647010:1] |
Generators of the group modulo torsion |
j |
-1744947845893341184/2698359228075 |
j-invariant |
L |
8.106200069605 |
L(r)(E,1)/r! |
Ω |
0.086913475278519 |
Real period |
R |
2.9146084766003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015695 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33180f1 |
Quadratic twists by: -3 |