Atkin-Lehner |
2+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
27200r |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1088000000 = 212 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-500,4000] |
[a1,a2,a3,a4,a6] |
j |
216000/17 |
j-invariant |
L |
3.0321158212746 |
L(r)(E,1)/r! |
Ω |
1.516057910637 |
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 |
27200s1 13600s1 1088b1 |
Quadratic twists by: -4 8 5 |