Atkin-Lehner |
2- 5+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
88550bs |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
58 |
Product of Tamagawa factors cp |
deg |
1002240 |
Modular degree for the optimal curve |
Δ |
-14856224768000000 = -1 · 229 · 56 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ 11- 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12555,-5886053] |
[a1,a2,a3,a4,a6] |
j |
-14006234957625/950798385152 |
j-invariant |
L |
10.07399265983 |
L(r)(E,1)/r! |
Ω |
0.17368952870891 |
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 |
3542h1 |
Quadratic twists by: 5 |