Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800fk |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-3717120000 = -1 · 214 · 3 · 54 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11+ 5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,3037] |
[a1,a2,a3,a4,a6] |
Generators |
[12:55:1] |
Generators of the group modulo torsion |
j |
-25600/363 |
j-invariant |
L |
6.4691132737912 |
L(r)(E,1)/r! |
Ω |
1.1851145737034 |
Real period |
R |
0.90977325699458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800dy1 13200bf1 52800gk1 |
Quadratic twists by: -4 8 5 |