Atkin-Lehner |
2- 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4692d |
Isogeny class |
Conductor |
4692 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
648 |
Modular degree for the optimal curve |
Δ |
319056 = 24 · 3 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17,0] |
[a1,a2,a3,a4,a6] |
j |
35995648/19941 |
j-invariant |
L |
3.9736042537652 |
L(r)(E,1)/r! |
Ω |
2.6490695025101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18768s1 75072t1 14076e1 117300e1 |
Quadratic twists by: -4 8 -3 5 |