Atkin-Lehner |
2- 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
89712bg |
Isogeny class |
Conductor |
89712 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6658560 |
Modular degree for the optimal curve |
Δ |
-6.0892926239236E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 0 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21138339,39246010018] |
[a1,a2,a3,a4,a6] |
Generators |
[4689:207904:1] |
Generators of the group modulo torsion |
j |
-349823363639236564897/20392917791668128 |
j-invariant |
L |
8.4432098269485 |
L(r)(E,1)/r! |
Ω |
0.10935797584159 |
Real period |
R |
3.2169616006392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11214e1 29904g1 |
Quadratic twists by: -4 -3 |