Atkin-Lehner |
2- 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144cy |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
52825685042921472 = 230 · 33 · 113 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-98433,-4393089] |
[a1,a2,a3,a4,a6] |
j |
402355893390625/201513996288 |
j-invariant |
L |
5.1113848381334 |
L(r)(E,1)/r! |
Ω |
0.28396582620198 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144d1 19536t1 |
Quadratic twists by: -4 8 |