Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13200cn |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-32152180500000000 = -1 · 28 · 312 · 59 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,50292,7472088] |
[a1,a2,a3,a4,a6] |
j |
28134667888/64304361 |
j-invariant |
L |
3.0869824222687 |
L(r)(E,1)/r! |
Ω |
0.25724853518906 |
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 |
3300g2 52800fm2 39600ev2 13200bv2 |
Quadratic twists by: -4 8 -3 5 |