Atkin-Lehner |
7- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
55811d |
Isogeny class |
Conductor |
55811 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3858624 |
Modular degree for the optimal curve |
Δ |
-92982660188579 = -1 · 710 · 173 · 67 |
Discriminant |
Eigenvalues |
2 0 -1 7- -3 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-179602003,-926434836343] |
[a1,a2,a3,a4,a6] |
j |
-2268176462762993750016/329171 |
j-invariant |
L |
0.020620148142512 |
L(r)(E,1)/r! |
Ω |
0.020620147381829 |
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 |
55811a1 |
Quadratic twists by: -7 |