Atkin-Lehner |
2- 3- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
89712u |
Isogeny class |
Conductor |
89712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
20861045710848 = 213 · 38 · 72 · 892 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11955,452594] |
[a1,a2,a3,a4,a6] |
j |
63282696625/6986322 |
j-invariant |
L |
2.6414106964557 |
L(r)(E,1)/r! |
Ω |
0.66035265961547 |
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 |
11214f2 29904a2 |
Quadratic twists by: -4 -3 |