Atkin-Lehner |
2+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38720w |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-851840000 = -1 · 210 · 54 · 113 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 11+ 4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-352,-2904] |
[a1,a2,a3,a4,a6] |
j |
-3538944/625 |
j-invariant |
L |
2.1834040303255 |
L(r)(E,1)/r! |
Ω |
0.54585100756983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38720cn1 2420b1 38720v1 |
Quadratic twists by: -4 8 -11 |