Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
55696v |
Isogeny class |
Conductor |
55696 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-891136 = -1 · 28 · 592 |
Discriminant |
Eigenvalues |
2- -2 1 0 2 3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20,-24] |
[a1,a2,a3,a4,a6] |
Generators |
[10:17:8] |
Generators of the group modulo torsion |
j |
944 |
j-invariant |
L |
4.6039399786541 |
L(r)(E,1)/r! |
Ω |
1.5184171067922 |
Real period |
R |
3.0320654042071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13924d1 55696w1 |
Quadratic twists by: -4 -59 |