Atkin-Lehner |
2- 3+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
60876a |
Isogeny class |
Conductor |
60876 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-8520691968 = -1 · 28 · 39 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 3 1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135,-4482] |
[a1,a2,a3,a4,a6] |
j |
-54000/1691 |
j-invariant |
L |
3.4098558373887 |
L(r)(E,1)/r! |
Ω |
0.56830930716518 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60876c1 |
Quadratic twists by: -3 |