Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13200t |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
49617562500000000 = 28 · 38 · 512 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100508,-5997012] |
[a1,a2,a3,a4,a6] |
j |
28071778927696/12404390625 |
j-invariant |
L |
2.2343967868576 |
L(r)(E,1)/r! |
Ω |
0.2792995983572 |
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 |
6600g2 52800ff2 39600bh2 2640e2 |
Quadratic twists by: -4 8 -3 5 |