Atkin-Lehner |
2+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27200bg |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-680000 = -1 · 26 · 54 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5- 3 0 5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,-38] |
[a1,a2,a3,a4,a6] |
j |
-1600/17 |
j-invariant |
L |
1.218432447601 |
L(r)(E,1)/r! |
Ω |
1.2184324476013 |
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 |
27200bd1 13600v1 27200w1 |
Quadratic twists by: -4 8 5 |