Atkin-Lehner |
3- 5+ 29+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
38715a |
Isogeny class |
Conductor |
38715 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10248 |
Modular degree for the optimal curve |
Δ |
-967875 = -1 · 3 · 53 · 29 · 89 |
Discriminant |
Eigenvalues |
2 3- 5+ 3 3 3 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-36,-109] |
[a1,a2,a3,a4,a6] |
j |
-5304438784/967875 |
j-invariant |
L |
8.6646495904878 |
L(r)(E,1)/r! |
Ω |
0.96273884339332 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116145l1 |
Quadratic twists by: -3 |