Atkin-Lehner |
2- 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
89712t |
Isogeny class |
Conductor |
89712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-694425138644385792 = -1 · 234 · 36 · 7 · 892 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 0 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,68037,39507050] |
[a1,a2,a3,a4,a6] |
Generators |
[3539425:209105370:29791] |
Generators of the group modulo torsion |
j |
11664649752839/232561573888 |
j-invariant |
L |
9.7706368963541 |
L(r)(E,1)/r! |
Ω |
0.21385819091836 |
Real period |
R |
11.421864239426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003807 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11214r1 9968i1 |
Quadratic twists by: -4 -3 |