Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4080be |
Isogeny class |
Conductor |
4080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-68451041280 = -1 · 228 · 3 · 5 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1280,-22092] |
[a1,a2,a3,a4,a6] |
Generators |
[1025808:16088457:4096] |
Generators of the group modulo torsion |
j |
-56667352321/16711680 |
j-invariant |
L |
4.3836261716152 |
L(r)(E,1)/r! |
Ω |
0.39308342182918 |
Real period |
R |
11.151897862333 |
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 |
510e1 16320bt1 12240bm1 20400bt1 |
Quadratic twists by: -4 8 -3 5 |