Atkin-Lehner |
2- 3+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
17160t |
Isogeny class |
Conductor |
17160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
446160 = 24 · 3 · 5 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9295,348040] |
[a1,a2,a3,a4,a6] |
j |
5551350318708736/27885 |
j-invariant |
L |
2.0133079911259 |
L(r)(E,1)/r! |
Ω |
2.0133079911259 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34320y1 51480m1 85800q1 |
Quadratic twists by: -4 -3 5 |