Atkin-Lehner |
2- 3+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
55536s |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-909901824 = -1 · 218 · 3 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 -1 13+ -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2536,50032] |
[a1,a2,a3,a4,a6] |
Generators |
[36:64:1] |
Generators of the group modulo torsion |
j |
-440537367529/222144 |
j-invariant |
L |
3.5198770027157 |
L(r)(E,1)/r! |
Ω |
1.5525285488613 |
Real period |
R |
0.56679746813091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6942f1 |
Quadratic twists by: -4 |