Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9768l |
Isogeny class |
Conductor |
9768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-312263424 = -1 · 28 · 34 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- 0 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52,-880] |
[a1,a2,a3,a4,a6] |
j |
-61918288/1219779 |
j-invariant |
L |
2.9673522878455 |
L(r)(E,1)/r! |
Ω |
0.74183807196138 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19536b2 78144g2 29304m2 107448ba2 |
Quadratic twists by: -4 8 -3 -11 |