Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2244c |
Isogeny class |
Conductor |
2244 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-430848 = -1 · 28 · 32 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 11+ 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11,-25] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] |
Generators of the group modulo torsion |
j |
524288/1683 |
j-invariant |
L |
3.2391758945721 |
L(r)(E,1)/r! |
Ω |
1.522085466542 |
Real period |
R |
1.064058479558 |
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 |
8976t1 35904o1 6732b1 56100e1 |
Quadratic twists by: -4 8 -3 5 |