Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13200bj |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-115956720000000000 = -1 · 213 · 32 · 510 · 115 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ -1 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,49792,15798912] |
[a1,a2,a3,a4,a6] |
j |
341297975/2898918 |
j-invariant |
L |
1.9445505602864 |
L(r)(E,1)/r! |
Ω |
0.2430688200358 |
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 |
1650r2 52800gy2 39600du2 13200co1 |
Quadratic twists by: -4 8 -3 5 |