Atkin-Lehner |
2- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4400x |
Isogeny class |
Conductor |
4400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-90112000 = -1 · 216 · 53 · 11 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88,-528] |
[a1,a2,a3,a4,a6] |
Generators |
[57:420:1] |
Generators of the group modulo torsion |
j |
-148877/176 |
j-invariant |
L |
4.9670437962907 |
L(r)(E,1)/r! |
Ω |
0.74481281793652 |
Real period |
R |
3.3344242181893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
550g1 17600di1 39600es1 4400y1 |
Quadratic twists by: -4 8 -3 5 |