Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680dj |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-694511600428800 = -1 · 28 · 32 · 52 · 77 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17820,-871200] |
[a1,a2,a3,a4,a6] |
j |
20777545136/23059575 |
j-invariant |
L |
4.3957972896501 |
L(r)(E,1)/r! |
Ω |
0.27473733072813 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129360bj1 9240q1 |
Quadratic twists by: -4 -7 |