Atkin-Lehner |
2- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59584bq |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-647835976646656 = -1 · 214 · 78 · 193 |
Discriminant |
Eigenvalues |
2- 2 1 7+ -3 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19665,-1614031] |
[a1,a2,a3,a4,a6] |
j |
-8904784/6859 |
j-invariant |
L |
1.5606986584793 |
L(r)(E,1)/r! |
Ω |
0.19508733234064 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584o1 14896j1 59584db1 |
Quadratic twists by: -4 8 -7 |