Atkin-Lehner |
2- 3+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
79680bj |
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] |
Generators |
[-195:2800:27] |
Generators of the group modulo torsion |
j |
702595369/398400 |
j-invariant |
L |
7.9445017199184 |
L(r)(E,1)/r! |
Ω |
0.91186417529913 |
Real period |
R |
4.3561869940697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997893 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680bc1 19920o1 |
Quadratic twists by: -4 8 |