Atkin-Lehner |
3+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
17775b |
Isogeny class |
Conductor |
17775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-24296203125 = -1 · 39 · 56 · 79 |
Discriminant |
Eigenvalues |
1 3+ 5+ 1 1 3 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,633,4166] |
[a1,a2,a3,a4,a6] |
Generators |
[14:118:1] |
Generators of the group modulo torsion |
j |
91125/79 |
j-invariant |
L |
6.1751993455072 |
L(r)(E,1)/r! |
Ω |
0.77802664374092 |
Real period |
R |
1.984250602208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17775e1 711b1 |
Quadratic twists by: -3 5 |