Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27200bz |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-289000000 = -1 · 26 · 56 · 172 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108,962] |
[a1,a2,a3,a4,a6] |
j |
-140608/289 |
j-invariant |
L |
3.0815466597623 |
L(r)(E,1)/r! |
Ω |
1.5407733298816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27200cc1 13600r2 1088n1 |
Quadratic twists by: -4 8 5 |