Atkin-Lehner |
2- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38720cw |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-178643795968000 = -1 · 230 · 53 · 113 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11+ -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13185,872225] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:1155:1] |
Generators of the group modulo torsion |
j |
-726572699/512000 |
j-invariant |
L |
8.9151579726425 |
L(r)(E,1)/r! |
Ω |
0.52518054582414 |
Real period |
R |
2.8292359150039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38720bc1 9680l1 38720cv1 |
Quadratic twists by: -4 8 -11 |