Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680gk |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-124887758929920 = -1 · 217 · 34 · 5 · 73 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 3 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4255,-525537] |
[a1,a2,a3,a4,a6] |
Generators |
[103:1008:1] |
Generators of the group modulo torsion |
j |
64984593742/952817985 |
j-invariant |
L |
10.976702003737 |
L(r)(E,1)/r! |
Ω |
0.28729527910277 |
Real period |
R |
0.79597998713979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999964097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680bd1 31920f1 |
Quadratic twists by: -4 8 |