Atkin-Lehner |
2- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
67048f |
Isogeny class |
Conductor |
67048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-716789249024 = -1 · 210 · 176 · 29 |
Discriminant |
Eigenvalues |
2- -1 -1 -2 -3 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23216,-1354436] |
[a1,a2,a3,a4,a6] |
Generators |
[1230:42772:1] |
Generators of the group modulo torsion |
j |
-55990084/29 |
j-invariant |
L |
2.5608437338313 |
L(r)(E,1)/r! |
Ω |
0.19337826493046 |
Real period |
R |
3.3106664476982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
232b1 |
Quadratic twists by: 17 |