Atkin-Lehner |
2- 5- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
80560p |
Isogeny class |
Conductor |
80560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-20623360000 = -1 · 215 · 54 · 19 · 53 |
Discriminant |
Eigenvalues |
2- -2 5- 1 -2 -7 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-160,6900] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:16:1] [10:-80:1] |
Generators of the group modulo torsion |
j |
-111284641/5035000 |
j-invariant |
L |
8.0572962125506 |
L(r)(E,1)/r! |
Ω |
1.0073390850594 |
Real period |
R |
0.49991211574505 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10070d1 |
Quadratic twists by: -4 |