Atkin-Lehner |
2- 3- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
54468b |
Isogeny class |
Conductor |
54468 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-4891422962375424 = -1 · 28 · 313 · 17 · 893 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 -5 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35544,-4239740] |
[a1,a2,a3,a4,a6] |
Generators |
[792:21550:1] |
Generators of the group modulo torsion |
j |
-26610627715072/26210042451 |
j-invariant |
L |
5.9104164147906 |
L(r)(E,1)/r! |
Ω |
0.16718015086714 |
Real period |
R |
5.892262911205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18156c1 |
Quadratic twists by: -3 |