Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848bp |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-187170816 = -1 · 219 · 3 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 1 -3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,63,-609] |
[a1,a2,a3,a4,a6] |
j |
103823/714 |
j-invariant |
L |
1.7897768099292 |
L(r)(E,1)/r! |
Ω |
0.89488840496462 |
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 |
22848ca1 714h1 68544ce1 |
Quadratic twists by: -4 8 -3 |