Atkin-Lehner |
3+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
56169c |
Isogeny class |
Conductor |
56169 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-518505542626293 = -1 · 33 · 797 |
Discriminant |
Eigenvalues |
1 3+ 0 1 -1 -3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,17553,627318] |
[a1,a2,a3,a4,a6] |
j |
91125/79 |
j-invariant |
L |
1.3560838529759 |
L(r)(E,1)/r! |
Ω |
0.33902096338531 |
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 |
56169d1 711a1 |
Quadratic twists by: -3 -79 |