Atkin-Lehner |
2+ 3- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16422l |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
84047007744 = 212 · 32 · 73 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1117,3320] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:134:1] |
Generators of the group modulo torsion |
j |
153930331718857/84047007744 |
j-invariant |
L |
3.2933636694504 |
L(r)(E,1)/r! |
Ω |
0.93991001993865 |
Real period |
R |
1.7519568892698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49266bp1 114954o1 |
Quadratic twists by: -3 -7 |