Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4554x |
Isogeny class |
Conductor |
4554 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
501282980757504 = 225 · 310 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 11+ 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-557177,160215833] |
[a1,a2,a3,a4,a6] |
Generators |
[423:76:1] |
Generators of the group modulo torsion |
j |
26240674555395219529/687630974976 |
j-invariant |
L |
5.3555285764386 |
L(r)(E,1)/r! |
Ω |
0.48551128268098 |
Real period |
R |
0.22061396995207 |
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 |
36432co1 1518i1 113850bl1 50094q1 |
Quadratic twists by: -4 -3 5 -11 |