Atkin-Lehner |
2- 3- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87984bn |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-5394536813592576 = -1 · 215 · 313 · 133 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 6 13- -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64587,-7238918] |
[a1,a2,a3,a4,a6] |
j |
-9978645018889/1806619464 |
j-invariant |
L |
1.7793440059556 |
L(r)(E,1)/r! |
Ω |
0.14827866866547 |
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 |
10998r1 29328w1 |
Quadratic twists by: -4 -3 |