Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10764g |
Isogeny class |
Conductor |
10764 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
42628651245648 = 24 · 318 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50340,-4335919] |
[a1,a2,a3,a4,a6] |
j |
1209527744512000/3654719757 |
j-invariant |
L |
1.9127199575565 |
L(r)(E,1)/r! |
Ω |
0.31878665959275 |
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 |
43056z1 3588a1 |
Quadratic twists by: -4 -3 |