Atkin-Lehner |
2+ 7+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89782d |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9757440 |
Modular degree for the optimal curve |
Δ |
4.3491175285272E+22 |
Discriminant |
Eigenvalues |
2+ -2 1 7+ 11- 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19509438,-31615257280] |
[a1,a2,a3,a4,a6] |
j |
31661472256694401/1676773078064 |
j-invariant |
L |
0.57657667000242 |
L(r)(E,1)/r! |
Ω |
0.072072088818676 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89782bg1 |
Quadratic twists by: -11 |