Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5544o |
Isogeny class |
Conductor |
5544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-237668918256 = -1 · 24 · 313 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11+ 1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,393,23263] |
[a1,a2,a3,a4,a6] |
Generators |
[29:243:1] |
Generators of the group modulo torsion |
j |
575511296/20376279 |
j-invariant |
L |
4.0763368141354 |
L(r)(E,1)/r! |
Ω |
0.74763219807085 |
Real period |
R |
0.68154114159572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11088x1 44352bi1 1848f1 38808cc1 |
Quadratic twists by: -4 8 -3 -7 |