Atkin-Lehner |
3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61005u |
Isogeny class |
Conductor |
61005 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
18309125625 = 3 · 54 · 76 · 83 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-663,781] |
[a1,a2,a3,a4,a6] |
j |
273359449/155625 |
j-invariant |
L |
4.209200516805 |
L(r)(E,1)/r! |
Ω |
1.0523001281007 |
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 |
1245a1 |
Quadratic twists by: -7 |