Atkin-Lehner |
2- 3- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
57936y |
Isogeny class |
Conductor |
57936 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
8864208 = 24 · 33 · 172 · 71 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -4 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-633,5922] |
[a1,a2,a3,a4,a6] |
j |
1755904000000/554013 |
j-invariant |
L |
3.4009390033127 |
L(r)(E,1)/r! |
Ω |
2.2672926697773 |
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 |
14484e1 |
Quadratic twists by: -4 |