Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720o |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-122817609728000 = -1 · 226 · 53 · 114 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38881,3011681] |
[a1,a2,a3,a4,a6] |
j |
-1693700041/32000 |
j-invariant |
L |
1.1772776558604 |
L(r)(E,1)/r! |
Ω |
0.58863882791406 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720bv1 1210e1 38720n1 |
Quadratic twists by: -4 8 -11 |