Atkin-Lehner |
2- 3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
27846be |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
60000 |
Modular degree for the optimal curve |
Δ |
-2772745178112 = -1 · 210 · 36 · 75 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -1 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13010,-573487] |
[a1,a2,a3,a4,a6] |
j |
-334038694641625/3803491328 |
j-invariant |
L |
2.233614683588 |
L(r)(E,1)/r! |
Ω |
0.22336146835881 |
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 |
3094a1 |
Quadratic twists by: -3 |