Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13200cd |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-87081320919859200 = -1 · 245 · 32 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-183408,33339348] |
[a1,a2,a3,a4,a6] |
Generators |
[23646:1572864:343] |
Generators of the group modulo torsion |
j |
-6663170841705625/850403524608 |
j-invariant |
L |
5.9235091174812 |
L(r)(E,1)/r! |
Ω |
0.33009713346637 |
Real period |
R |
2.2430932129272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1650n2 52800ew2 39600dw2 13200bx2 |
Quadratic twists by: -4 8 -3 5 |