Atkin-Lehner |
2- 3- 7+ 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
38766bd |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-39308724 = -1 · 22 · 32 · 7 · 133 · 71 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 4 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-154,-808] |
[a1,a2,a3,a4,a6] |
j |
-404075127457/39308724 |
j-invariant |
L |
8.0865652050615 |
L(r)(E,1)/r! |
Ω |
0.67388043375572 |
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 |
116298i1 |
Quadratic twists by: -3 |