Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
550m |
Isogeny class |
Conductor |
550 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
660 |
Modular degree for the optimal curve |
Δ |
-8800000000 = -1 · 211 · 58 · 11 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11- 3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5138,-143969] |
[a1,a2,a3,a4,a6] |
j |
-38401771585/22528 |
j-invariant |
L |
3.101330128155 |
L(r)(E,1)/r! |
Ω |
0.28193910255955 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4400z1 17600ba1 4950r1 550c1 |
Quadratic twists by: -4 8 -3 5 |