Atkin-Lehner |
2- 3- 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010bo |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-968448211300800000 = -1 · 29 · 37 · 55 · 235 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -6 7 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6338273,-6140522703] |
[a1,a2,a3,a4,a6] |
j |
-38628597707829782863561/1328461195200000 |
j-invariant |
L |
4.2817217331232 |
L(r)(E,1)/r! |
Ω |
0.047574686265735 |
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 |
29670f1 |
Quadratic twists by: -3 |