Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800du |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-211200000000 = -1 · 214 · 3 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 11+ -4 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1167,-15537] |
[a1,a2,a3,a4,a6] |
Generators |
[233:3600:1] |
Generators of the group modulo torsion |
j |
27440/33 |
j-invariant |
L |
8.6511234929443 |
L(r)(E,1)/r! |
Ω |
0.53649332528258 |
Real period |
R |
2.6875523842129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800fv1 3300i1 52800w1 |
Quadratic twists by: -4 8 5 |