Atkin-Lehner |
2- 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
89712r |
Isogeny class |
Conductor |
89712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
52087504896 = 214 · 36 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13179,-582230] |
[a1,a2,a3,a4,a6] |
Generators |
[383:7110:1] |
Generators of the group modulo torsion |
j |
84778086457/17444 |
j-invariant |
L |
7.6924338923339 |
L(r)(E,1)/r! |
Ω |
0.44558883728135 |
Real period |
R |
4.3158811708755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001605 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11214q1 9968j1 |
Quadratic twists by: -4 -3 |