Atkin-Lehner |
3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
387a |
Isogeny class |
Conductor |
387 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64 |
Modular degree for the optimal curve |
Δ |
-2539107 = -1 · 310 · 43 |
Discriminant |
Eigenvalues |
0 3- 2 -2 5 3 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-174,-887] |
[a1,a2,a3,a4,a6] |
j |
-799178752/3483 |
j-invariant |
L |
1.3141622553222 |
L(r)(E,1)/r! |
Ω |
0.65708112766111 |
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 |
6192v1 24768be1 129a1 9675j1 |
Quadratic twists by: -4 8 -3 5 |