Atkin-Lehner |
2- 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
17040q |
Isogeny class |
Conductor |
17040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-9422438400 = -1 · 216 · 34 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,400,-3648] |
[a1,a2,a3,a4,a6] |
j |
1723683599/2300400 |
j-invariant |
L |
2.7621056840158 |
L(r)(E,1)/r! |
Ω |
0.69052642100394 |
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 |
2130o1 68160db1 51120ba1 85200dh1 |
Quadratic twists by: -4 8 -3 5 |