Atkin-Lehner |
3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
387d |
Isogeny class |
Conductor |
387 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
982634409 = 312 · 432 |
Discriminant |
Eigenvalues |
-1 3- -2 0 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-266,776] |
[a1,a2,a3,a4,a6] |
j |
2845178713/1347921 |
j-invariant |
L |
0.69764034569899 |
L(r)(E,1)/r! |
Ω |
1.395280691398 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6192x2 24768bc2 129b1 9675m2 |
Quadratic twists by: -4 8 -3 5 |