Atkin-Lehner |
2- 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4446t |
Isogeny class |
Conductor |
4446 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
85888795618050048 = 224 · 313 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1328999,589868831] |
[a1,a2,a3,a4,a6] |
j |
356098250438417935657/117817277939712 |
j-invariant |
L |
4.0071548946571 |
L(r)(E,1)/r! |
Ω |
0.33392957455475 |
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 |
35568cg1 1482d1 111150w1 57798v1 |
Quadratic twists by: -4 -3 5 13 |