Atkin-Lehner |
2- 3- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
54672bk |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-343966482432 = -1 · 225 · 32 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 3 2 -3 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11088,-453996] |
[a1,a2,a3,a4,a6] |
Generators |
[6498:523776:1] |
Generators of the group modulo torsion |
j |
-36809725884625/83976192 |
j-invariant |
L |
8.5598976927836 |
L(r)(E,1)/r! |
Ω |
0.23259138754381 |
Real period |
R |
4.6002873231005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6834o1 |
Quadratic twists by: -4 |