Atkin-Lehner |
2- 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880cx |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
7777941061632000 = 220 · 3 · 53 · 7 · 414 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-144320,20623668] |
[a1,a2,a3,a4,a6] |
j |
81160802762719681/1898911392000 |
j-invariant |
L |
4.9870438106067 |
L(r)(E,1)/r! |
Ω |
0.41558698519801 |
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 |
8610m1 |
Quadratic twists by: -4 |