Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
55696u |
Isogeny class |
Conductor |
55696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1132800 |
Modular degree for the optimal curve |
Δ |
1.9245359117674E+19 |
Discriminant |
Eigenvalues |
2- 2 0 1 0 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2396088,-1411098256] |
[a1,a2,a3,a4,a6] |
Generators |
[-88537485585295028188346:265734964581516339955614:93574128796095151079] |
Generators of the group modulo torsion |
j |
2529625/32 |
j-invariant |
L |
8.8493359171897 |
L(r)(E,1)/r! |
Ω |
0.12143843236425 |
Real period |
R |
36.435483169968 |
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 |
6962g1 55696t1 |
Quadratic twists by: -4 -59 |