Atkin-Lehner |
2- 3+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880bv |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-137503703040 = -1 · 218 · 3 · 5 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,-17808] |
[a1,a2,a3,a4,a6] |
j |
-47045881/33570240 |
j-invariant |
L |
1.8661025284686 |
L(r)(E,1)/r! |
Ω |
0.46652563210344 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610v1 |
Quadratic twists by: -4 |