Atkin-Lehner |
2- 3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960cc |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-79471315350000 = -1 · 24 · 37 · 55 · 7 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 1 -2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4030,-438725] |
[a1,a2,a3,a4,a6] |
j |
-452508382610176/4966957209375 |
j-invariant |
L |
1.2966790032862 |
L(r)(E,1)/r! |
Ω |
0.25933580655327 |
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 |
19740u1 |
Quadratic twists by: -4 |