Atkin-Lehner |
2+ 3+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
5874c |
Isogeny class |
Conductor |
5874 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-596896895232 = -1 · 28 · 39 · 113 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- 5 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1986,15732] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:90:1] |
Generators of the group modulo torsion |
j |
865604918383127/596896895232 |
j-invariant |
L |
3.0456960778654 |
L(r)(E,1)/r! |
Ω |
0.57886785863654 |
Real period |
R |
0.87691172588714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46992m1 17622k1 64614n1 |
Quadratic twists by: -4 -3 -11 |