Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416fs |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-882059171954688 = -1 · 215 · 36 · 75 · 133 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 1 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,22740,-547472] |
[a1,a2,a3,a4,a6] |
j |
54439939000/36924979 |
j-invariant |
L |
2.8304129971677 |
L(r)(E,1)/r! |
Ω |
0.28304129972367 |
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 |
52416em1 26208br1 5824z1 |
Quadratic twists by: -4 8 -3 |