Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416cf |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
24 |
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] |
Generators |
[77:1053:1] |
Generators of the group modulo torsion |
j |
5582912824/3737097 |
j-invariant |
L |
6.8341697867602 |
L(r)(E,1)/r! |
Ω |
0.34330131505759 |
Real period |
R |
0.82946689091266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416dh1 26208bi1 17472be1 |
Quadratic twists by: -4 8 -3 |