Atkin-Lehner |
3- 5- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69615t |
Isogeny class |
Conductor |
69615 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2851877741456323125 = -1 · 36 · 54 · 78 · 13 · 174 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,259896,-63317215] |
[a1,a2,a3,a4,a6] |
j |
2663140198900085631/3912040797608125 |
j-invariant |
L |
4.3159680575456 |
L(r)(E,1)/r! |
Ω |
0.13487400200885 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7735c4 |
Quadratic twists by: -3 |