Atkin-Lehner |
3- 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89661l |
Isogeny class |
Conductor |
89661 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
deg |
29299200 |
Modular degree for the optimal curve |
Δ |
-4.5100102356546E+24 |
Discriminant |
Eigenvalues |
1 3- 4 -4 11- 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21547804,-109189859011] |
[a1,a2,a3,a4,a6] |
j |
-624563531162726356369/2545783202302695927 |
j-invariant |
L |
4.472015146078 |
L(r)(E,1)/r! |
Ω |
0.031942966647207 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8151i1 |
Quadratic twists by: -11 |