Atkin-Lehner |
2+ 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
79680bc |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
104438169600 = 224 · 3 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1185,-2625] |
[a1,a2,a3,a4,a6] |
j |
702595369/398400 |
j-invariant |
L |
1.7562947360757 |
L(r)(E,1)/r! |
Ω |
0.87814740378012 |
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 |
79680bj1 2490a1 |
Quadratic twists by: -4 8 |