Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416fn |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-88038752256 = -1 · 214 · 310 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 2 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,816,11104] |
[a1,a2,a3,a4,a6] |
j |
5030912/7371 |
j-invariant |
L |
1.4583630379215 |
L(r)(E,1)/r! |
Ω |
0.72918151890382 |
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 |
52416di1 13104p1 17472cv1 |
Quadratic twists by: -4 8 -3 |