Atkin-Lehner |
2+ 3- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
20502u |
Isogeny class |
Conductor |
20502 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
89675748 = 22 · 39 · 17 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 4 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5760,169708] |
[a1,a2,a3,a4,a6] |
j |
28993860495361/123012 |
j-invariant |
L |
3.3628235082763 |
L(r)(E,1)/r! |
Ω |
1.6814117541381 |
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 |
6834m1 |
Quadratic twists by: -3 |