Atkin-Lehner |
7+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
55811a |
Isogeny class |
Conductor |
55811 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
551232 |
Modular degree for the optimal curve |
Δ |
-790339571 = -1 · 74 · 173 · 67 |
Discriminant |
Eigenvalues |
2 0 1 7+ -3 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3665347,2700976199] |
[a1,a2,a3,a4,a6] |
j |
-2268176462762993750016/329171 |
j-invariant |
L |
1.8999194730452 |
L(r)(E,1)/r! |
Ω |
0.63330649127599 |
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 |
55811d1 |
Quadratic twists by: -7 |