Atkin-Lehner |
2- 3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552ct |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
624382552571904 = 222 · 32 · 74 · 832 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21729,280449] |
[a1,a2,a3,a4,a6] |
j |
4328356230073/2381830416 |
j-invariant |
L |
1.7851688291198 |
L(r)(E,1)/r! |
Ω |
0.44629211998693 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
111552be2 27888bj2 |
Quadratic twists by: -4 8 |