Atkin-Lehner |
2+ 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
67680c |
Isogeny class |
Conductor |
67680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1420955136000 = -1 · 212 · 310 · 53 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 -1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4728,-137648] |
[a1,a2,a3,a4,a6] |
j |
-3914430976/475875 |
j-invariant |
L |
1.1436978514041 |
L(r)(E,1)/r! |
Ω |
0.28592446570403 |
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 |
67680e1 22560v1 |
Quadratic twists by: -4 -3 |