Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13200cc |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6042480468750000 = -1 · 24 · 32 · 518 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-390533,93880938] |
[a1,a2,a3,a4,a6] |
Generators |
[105574:587250:343] |
Generators of the group modulo torsion |
j |
-26348629355659264/24169921875 |
j-invariant |
L |
5.9853612584711 |
L(r)(E,1)/r! |
Ω |
0.42254617216526 |
Real period |
R |
7.0824937636995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3300e3 52800ev3 39600dv3 2640o3 |
Quadratic twists by: -4 8 -3 5 |