Atkin-Lehner |
2- 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
816g |
Isogeny class |
Conductor |
816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
-13056 = -1 · 28 · 3 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 -5 -5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,9] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
-65536/51 |
j-invariant |
L |
2.0695270453038 |
L(r)(E,1)/r! |
Ω |
3.6606128038314 |
Real period |
R |
0.28267494490782 |
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 |
204b1 3264bb1 2448m1 20400cz1 |
Quadratic twists by: -4 8 -3 5 |