Atkin-Lehner |
2- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38720cu |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-218071040 = -1 · 215 · 5 · 113 |
Discriminant |
Eigenvalues |
2- -1 5- -1 11+ 0 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-865,-9535] |
[a1,a2,a3,a4,a6] |
Generators |
[37:88:1] |
Generators of the group modulo torsion |
j |
-1643032/5 |
j-invariant |
L |
4.3093915785723 |
L(r)(E,1)/r! |
Ω |
0.44004243120671 |
Real period |
R |
1.2241409216934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720cp1 19360a1 38720ct1 |
Quadratic twists by: -4 8 -11 |