Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38160ch |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-94954291200 = -1 · 215 · 37 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 1 -2 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,933,-9974] |
[a1,a2,a3,a4,a6] |
Generators |
[77:720:1] |
Generators of the group modulo torsion |
j |
30080231/31800 |
j-invariant |
L |
6.859534035446 |
L(r)(E,1)/r! |
Ω |
0.57875345419847 |
Real period |
R |
0.74076599302403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4770bi1 12720x1 |
Quadratic twists by: -4 -3 |