Atkin-Lehner |
3+ 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21879d |
Isogeny class |
Conductor |
21879 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-226833661197 = -1 · 33 · 113 · 135 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 4 5 11- 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83,-22896] |
[a1,a2,a3,a4,a6] |
j |
-2315685267/8401246711 |
j-invariant |
L |
2.7054750064566 |
L(r)(E,1)/r! |
Ω |
0.4509125010761 |
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 |
21879a1 |
Quadratic twists by: -3 |