Atkin-Lehner |
3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28611l |
Isogeny class |
Conductor |
28611 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1723392 |
Modular degree for the optimal curve |
Δ |
-1.0900290481048E+20 |
Discriminant |
Eigenvalues |
1 3- -2 -3 11+ -5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24954048,47988799839] |
[a1,a2,a3,a4,a6] |
Generators |
[2818:4949:1] |
Generators of the group modulo torsion |
j |
-337930850201473/21434787 |
j-invariant |
L |
3.3822032708942 |
L(r)(E,1)/r! |
Ω |
0.17817385265368 |
Real period |
R |
1.5818834715459 |
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 |
9537m1 28611t1 |
Quadratic twists by: -3 17 |