Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488cj |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-709065226944 = -1 · 26 · 33 · 177 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 1 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10211,-395823] |
[a1,a2,a3,a4,a6] |
j |
-76225024/459 |
j-invariant |
L |
0.47475836659496 |
L(r)(E,1)/r! |
Ω |
0.2373791827731 |
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 |
55488dk1 27744i1 3264ba1 |
Quadratic twists by: -4 8 17 |