Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232cm |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
152668647825408 = 213 · 33 · 11 · 137 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-111361592,-452362818348] |
[a1,a2,a3,a4,a6] |
j |
7725203825376001537/7722 |
j-invariant |
L |
4.461562032933 |
L(r)(E,1)/r! |
Ω |
0.046474603860983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154d4 6864w3 |
Quadratic twists by: -4 13 |