Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
28314bo |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
3446784 |
Modular degree for the optimal curve |
Δ |
-1.921697437788E+22 |
Discriminant |
Eigenvalues |
2- 3- 3 3 11+ 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5686781,8470736453] |
[a1,a2,a3,a4,a6] |
j |
-11832089797403/11179524096 |
j-invariant |
L |
7.5729672502723 |
L(r)(E,1)/r! |
Ω |
0.11136716544518 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9438k1 28314l1 |
Quadratic twists by: -3 -11 |