Atkin-Lehner |
2- 3- 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
60876m |
Isogeny class |
Conductor |
60876 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
43136003088 = 24 · 313 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 4 6 -1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85989,9705373] |
[a1,a2,a3,a4,a6] |
j |
6028439354943232/3698217 |
j-invariant |
L |
5.6472869461786 |
L(r)(E,1)/r! |
Ω |
0.94121449038504 |
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 |
20292f1 |
Quadratic twists by: -3 |