Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416dh |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-89271294787584 = -1 · 215 · 311 · 7 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 5 13- -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10644,167312] |
[a1,a2,a3,a4,a6] |
j |
5582912824/3737097 |
j-invariant |
L |
4.5537453319326 |
L(r)(E,1)/r! |
Ω |
0.37947877766406 |
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 |
52416cf1 26208t1 17472s1 |
Quadratic twists by: -4 8 -3 |