Atkin-Lehner |
2- 3- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
89712w |
Isogeny class |
Conductor |
89712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
66048 |
Modular degree for the optimal curve |
Δ |
-11161608192 = -1 · 213 · 37 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -6 4 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,141,5042] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:18:1] [1:-72:1] |
Generators of the group modulo torsion |
j |
103823/3738 |
j-invariant |
L |
11.991688056794 |
L(r)(E,1)/r! |
Ω |
0.96493907941099 |
Real period |
R |
0.77671276824886 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11214h1 29904b1 |
Quadratic twists by: -4 -3 |