Atkin-Lehner |
2- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
44608bl |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
2923429888 = 222 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 0 2 0 4 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-844,-9072] |
[a1,a2,a3,a4,a6] |
j |
253636137/11152 |
j-invariant |
L |
3.552654245157 |
L(r)(E,1)/r! |
Ω |
0.88816356127004 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44608q1 11152t1 |
Quadratic twists by: -4 8 |