Atkin-Lehner |
2- 3- 11- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21318v |
Isogeny class |
Conductor |
21318 |
Conductor |
∏ cp |
1008 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-763834328942211648 = -1 · 26 · 38 · 117 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- -5 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-234544,-60679360] |
[a1,a2,a3,a4,a6] |
Generators |
[1718:-68740:1] |
Generators of the group modulo torsion |
j |
-1426910751672457648897/763834328942211648 |
j-invariant |
L |
7.5746383755657 |
L(r)(E,1)/r! |
Ω |
0.10581989025448 |
Real period |
R |
0.071012379429904 |
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 |
63954d1 |
Quadratic twists by: -3 |