Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13200b |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
108900000000 = 28 · 32 · 58 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1508,16512] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:176:1] |
Generators of the group modulo torsion |
j |
94875856/27225 |
j-invariant |
L |
4.2841367467623 |
L(r)(E,1)/r! |
Ω |
0.98272840993517 |
Real period |
R |
2.1797155264112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6600bc2 52800gv2 39600x2 2640k2 |
Quadratic twists by: -4 8 -3 5 |