Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488bp |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-709065226944 = -1 · 26 · 33 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 3 4 -3 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,771,-39411] |
[a1,a2,a3,a4,a6] |
j |
32768/459 |
j-invariant |
L |
5.309960557059 |
L(r)(E,1)/r! |
Ω |
0.44249671321459 |
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 |
55488cv1 867a1 3264e1 |
Quadratic twists by: -4 8 17 |