Atkin-Lehner |
2- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
55900c |
Isogeny class |
Conductor |
55900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17856 |
Modular degree for the optimal curve |
Δ |
-153836800 = -1 · 28 · 52 · 13 · 432 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 -5 13- -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-228,-1532] |
[a1,a2,a3,a4,a6] |
Generators |
[24:86:1] |
Generators of the group modulo torsion |
j |
-205708240/24037 |
j-invariant |
L |
2.5576071928674 |
L(r)(E,1)/r! |
Ω |
0.61007812538449 |
Real period |
R |
0.69871029257275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999596 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55900e1 |
Quadratic twists by: 5 |