Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
27200bo |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79360 |
Modular degree for the optimal curve |
Δ |
-1088000000000 = -1 · 215 · 59 · 17 |
Discriminant |
Eigenvalues |
2+ 3 5- 4 -6 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,500,50000] |
[a1,a2,a3,a4,a6] |
Generators |
[-825:2125:27] |
Generators of the group modulo torsion |
j |
216/17 |
j-invariant |
L |
10.340649023796 |
L(r)(E,1)/r! |
Ω |
0.66656019237116 |
Real period |
R |
3.8783628028443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27200bp1 13600x1 27200bi1 |
Quadratic twists by: -4 8 5 |