Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5544t |
Isogeny class |
Conductor |
5544 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
328628627712 = 28 · 39 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5282751,4673457794] |
[a1,a2,a3,a4,a6] |
j |
87364831012240243408/1760913 |
j-invariant |
L |
0.99961176482081 |
L(r)(E,1)/r! |
Ω |
0.4998058824104 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11088p1 44352co1 1848b1 38808ce1 |
Quadratic twists by: -4 8 -3 -7 |