Atkin-Lehner |
2- 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
38592cf |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-345705283584 = -1 · 218 · 39 · 67 |
Discriminant |
Eigenvalues |
2- 3- -1 5 4 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,28816] |
[a1,a2,a3,a4,a6] |
j |
-117649/1809 |
j-invariant |
L |
3.2440058197127 |
L(r)(E,1)/r! |
Ω |
0.81100145491429 |
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 |
38592m1 9648j1 12864bl1 |
Quadratic twists by: -4 8 -3 |