Atkin-Lehner |
2- 7- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
80066g |
Isogeny class |
Conductor |
80066 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
54784 |
Modular degree for the optimal curve |
Δ |
-3663179632 = -1 · 24 · 73 · 192 · 432 |
Discriminant |
Eigenvalues |
2- 0 2 7- 4 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-349,-3755] |
[a1,a2,a3,a4,a6] |
Generators |
[310:1437:8] |
Generators of the group modulo torsion |
j |
-13669062471/10679824 |
j-invariant |
L |
12.229111662085 |
L(r)(E,1)/r! |
Ω |
0.53443400535898 |
Real period |
R |
2.8602950824984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80066c1 |
Quadratic twists by: -7 |